257929920 has 336 divisors, whose sum is σ = 958583808. Its totient is φ = 65940480.

The previous prime is 257929913. The next prime is 257929927. The reversal of 257929920 is 29929752.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (257929913) and next prime (257929927).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (257929927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2410507 + ... + 2410613.

It is an arithmetic number, because the mean of its divisors is an integer number (2852928).

Almost surely, 2^257929920 is an apocalyptic number.

257929920 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 257929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479291904).

257929920 is an abundant number, since it is smaller than the sum of its proper divisors (700653888).

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

257929920 is a wasteful number, since it uses less digits than its factorization.

257929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 257929920 is about 16060.1967609366. The cubic root of 257929920 is about 636.5520305040.

The spelling of 257929920 in words is "two hundred fifty-seven million, nine hundred twenty-nine thousand, nine hundred twenty".