257269488 has 80 divisors (see below), whose sum is σ = 765665280. Its totient is φ = 72914688.

The previous prime is 257269477. The next prime is 257269489. The reversal of 257269488 is 884962752.

It is a self number, because there is not a number n which added to its sum of digits gives 257269488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257269489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39658 + ... + 45686.

It is an arithmetic number, because the mean of its divisors is an integer number (9570816).

Almost surely, 2^257269488 is an apocalyptic number.

257269488 is a gapful number since it is divisible by the number (28) 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 257269488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382832640).

257269488 is an abundant number, since it is smaller than the sum of its proper divisors (508395792).

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

257269488 is a wasteful number, since it uses less digits than its factorization.

257269488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174 (or 6168 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 257269488 is about 16039.6224394466. The cubic root of 257269488 is about 636.0082669706.

It can be divided in two parts, 257 and 269488, that added together give a triangular number (269745 = T₇₃₄).

The spelling of 257269488 in words is "two hundred fifty-seven million, two hundred sixty-nine thousand, four hundred eighty-eight".