257472432 has 200 divisors, whose sum is σ = 863150112. Its totient is φ = 72576000.

The previous prime is 257472427. The next prime is 257472443. The reversal of 257472432 is 234274752.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 916132 + ... + 916412.

Almost surely, 2^257472432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257472432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431575056).

257472432 is an abundant number, since it is smaller than the sum of its proper divisors (605677680).

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

257472432 is a wasteful number, since it uses less digits than its factorization.

257472432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 394 counting only the distinct ones).

The product of its digits is 94080, while the sum is 36.

The square root of 257472432 is about 16045.9475257773. The cubic root of 257472432 is about 636.1754588881.

The spelling of 257472432 in words is "two hundred fifty-seven million, four hundred seventy-two thousand, four hundred thirty-two".