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405244000 = 2553741353
BaseRepresentation
bin11000001001111…
…000100001100000
31001020112112021001
4120021320201200
51312220302000
6104113441344
713020342250
oct3011704140
91036475231
10405244000
111988278a7
12b3870254
1365c59465
143bb6b960
152589c46a
hex18278860

405244000 has 192 divisors, whose sum is σ = 1168981632. Its totient is φ = 135168000.

The previous prime is 405243983. The next prime is 405244013. The reversal of 405244000 is 442504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147824 + ... + 1148176.

It is an arithmetic number, because the mean of its divisors is an integer number (6088446).

Almost surely, 2405244000 is an apocalyptic number.

405244000 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 405244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584490816).

405244000 is an abundant number, since it is smaller than the sum of its proper divisors (763737632).

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

405244000 is a wasteful number, since it uses less digits than its factorization.

405244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 405244000 is about 20130.6731134356. The cubic root of 405244000 is about 740.0121741362.

Adding to 405244000 its reverse (442504), we get a palindrome (405686504).

The spelling of 405244000 in words is "four hundred five million, two hundred forty-four thousand".