257928552 has 144 divisors (see below), whose sum is σ = 840960900. Its totient is φ = 71124480.

The previous prime is 257928533. The next prime is 257928569. The reversal of 257928552 is 255829752.

257928552 is a `hidden beast` number, since 2 + 5 + 7 + 92 + 8 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 224820036 + 33108516 = 14994^2 + 5754^2 .

It is a junction number, because it is equal to n+sod(n) for n = 257928498 and 257928507.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101052 + ... + 103572.

Almost surely, 2^257928552 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 257928552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420480450).

257928552 is an abundant number, since it is smaller than the sum of its proper divisors (583032348).

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

257928552 is a wasteful number, since it uses less digits than its factorization.

257928552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2562 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 257928552 is about 16060.1541711155. The cubic root of 257928552 is about 636.5509051277.

The spelling of 257928552 in words is "two hundred fifty-seven million, nine hundred twenty-eight thousand, five hundred fifty-two".