257463432 has 108 divisors (see below), whose sum is σ = 732521205. Its totient is φ = 81691200.

The previous prime is 257463431. The next prime is 257463439. The reversal of 257463432 is 234364752.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 174398436 + 83064996 = 13206^2 + 9114^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11346.

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

It is not an unprimeable number, because it can be changed into a prime (257463431) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4220682 + ... + 4220742.

Almost surely, 2^257463432 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 257463432

257463432 is an abundant number, since it is smaller than the sum of its proper divisors (475057773).

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

257463432 is a wasteful number, since it uses less digits than its factorization.

257463432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 97 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 257463432 is about 16045.6670786851. The cubic root of 257463432 is about 636.1680462553.

The spelling of 257463432 in words is "two hundred fifty-seven million, four hundred sixty-three thousand, four hundred thirty-two".