257928469440 has 112 divisors (see below), whose sum is σ = 854528306688. Its totient is φ = 65790444544.

The previous prime is 257928469399. The next prime is 257928469481. The reversal of 257928469440 is 44964829752.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (257928469399) and next prime (257928469481).

It is a super-2 number, since 2×257928469440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5818692 + ... + 5862851.

It is an arithmetic number, because the mean of its divisors is an integer number (7629717024).

Almost surely, 2^257928469440 is an apocalyptic number.

257928469440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257928469440 is an abundant number, since it is smaller than the sum of its proper divisors (596599837248).

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

257928469440 is a wasteful number, since it uses less digits than its factorization.

257928469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11681586 (or 11681576 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 257928469440 in words is "two hundred fifty-seven billion, nine hundred twenty-eight million, four hundred sixty-nine thousand, four hundred forty".