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425364480 = 21033517181
BaseRepresentation
bin11001010110101…
…000110000000000
31002122101202101000
4121112220300000
51332343130410
6110113012000
713353352452
oct3126506000
91078352330
10425364480
111a911a6a2
12ba554000
136a182678
14406c82d2
1527523dc0
hex195a8c00

425364480 has 352 divisors, whose sum is σ = 1609433280. Its totient is φ = 106168320.

The previous prime is 425364451. The next prime is 425364487. The reversal of 425364480 is 84463524.

425364480 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 644 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (425364487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2349990 + ... + 2350170.

Almost surely, 2425364480 is an apocalyptic number.

425364480 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 425364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804716640).

425364480 is an abundant number, since it is smaller than the sum of its proper divisors (1184068800).

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

425364480 is a wasteful number, since it uses less digits than its factorization.

425364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 425364480 is about 20624.3661720791. The cubic root of 425364480 is about 752.0621647719.

The spelling of 425364480 in words is "four hundred twenty-five million, three hundred sixty-four thousand, four hundred eighty".