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425478400 = 2852193499
BaseRepresentation
bin11001010111000…
…100100100000000
31002122121112122021
4121113010210000
51332410302100
6110115251224
713354335544
oct3127044400
91078545567
10425478400
111a9198246
12ba5a9b14
136a1c2489
1440717a24
1527547a1a
hex195c4900

425478400 has 108 divisors (see below), whose sum is σ = 1108870000. Its totient is φ = 161187840.

The previous prime is 425478377. The next prime is 425478407. The reversal of 425478400 is 4874524.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (425478407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119851 + ... + 123349.

Almost surely, 2425478400 is an apocalyptic number.

425478400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554435000).

425478400 is an abundant number, since it is smaller than the sum of its proper divisors (683391600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

425478400 is a wasteful number, since it uses less digits than its factorization.

425478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3544 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 425478400 is about 20627.1277690327. The cubic root of 425478400 is about 752.1292972184.

The spelling of 425478400 in words is "four hundred twenty-five million, four hundred seventy-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 256 304 320 380 400 475 608 640 760 800 950 1216 1280 1520 1600 1900 2432 3040 3200 3499 3800 4864 6080 6400 6998 7600 12160 13996 15200 17495 24320 27992 30400 34990 55984 60800 66481 69980 87475 111968 121600 132962 139960 174950 223936 265924 279920 332405 349900 447872 531848 559840 664810 699800 895744 1063696 1119680 1329620 1399600 1662025 2127392 2239360 2659240 2799200 3324050 4254784 4478720 5318480 5598400 6648100 8509568 10636960 11196800 13296200 17019136 21273920 22393600 26592400 42547840 53184800 85095680 106369600 212739200 425478400