257235264 has 280 divisors, whose sum is σ = 898416288. Its totient is φ = 71746560.

The previous prime is 257235229. The next prime is 257235269. The reversal of 257235264 is 462532752.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257235269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 741139 + ... + 741485.

Almost surely, 2^257235264 is an apocalyptic number.

257235264 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 257235264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449208144).

257235264 is an abundant number, since it is smaller than the sum of its proper divisors (641181024).

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

257235264 is a wasteful number, since it uses less digits than its factorization.

257235264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 376 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 257235264 is about 16038.5555459337. Note that the first 4 decimals coincide. The cubic root of 257235264 is about 635.9800634548.

The spelling of 257235264 in words is "two hundred fifty-seven million, two hundred thirty-five thousand, two hundred sixty-four".