257623520 has 144 divisors (see below), whose sum is σ = 764969184. Its totient is φ = 80256000.

The previous prime is 257623507. The next prime is 257623567. The reversal of 257623520 is 25326752.

257623520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134570 + ... + 136470.

It is an arithmetic number, because the mean of its divisors is an integer number (5312286).

Almost surely, 2^257623520 is an apocalyptic number.

257623520 is a gapful number since it is divisible by the number (20) 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 257623520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382484592).

257623520 is an abundant number, since it is smaller than the sum of its proper divisors (507345664).

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

257623520 is a wasteful number, since it uses less digits than its factorization.

257623520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 257623520 is about 16050.6548153027. The cubic root of 257623520 is about 636.2998730917.

The spelling of 257623520 in words is "two hundred fifty-seven million, six hundred twenty-three thousand, five hundred twenty".