257775264 has 192 divisors, whose sum is σ = 786199680. Its totient is φ = 82114560.

The previous prime is 257775257. The next prime is 257775281. The reversal of 257775264 is 462577752.

257775264 is a `hidden beast` number, since 2 + 57 + 77 + 526 + 4 = 666.

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, 3531132 + ... + 3531204.

It is an arithmetic number, because the mean of its divisors is an integer number (4094790).

Almost surely, 2^257775264 is an apocalyptic number.

257775264 is a gapful number since it is divisible by the number (24) 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 257775264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393099840).

257775264 is an abundant number, since it is smaller than the sum of its proper divisors (528424416).

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

257775264 is a wasteful number, since it uses less digits than its factorization.

257775264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its digits is 823200, while the sum is 45.

The square root of 257775264 is about 16055.3811539932. The cubic root of 257775264 is about 636.4247785309.

It can be divided in two parts, 2577 and 75264, that added together give a square (77841 = 279²).

The spelling of 257775264 in words is "two hundred fifty-seven million, seven hundred seventy-five thousand, two hundred sixty-four".