257000976 has 60 divisors (see below), whose sum is σ = 723620352. Its totient is φ = 85146048.

The previous prime is 257000921. The next prime is 257000977. The reversal of 257000976 is 679000752.

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

It is a self number, because there is not a number n which added to its sum of digits gives 257000976.

It is not an unprimeable number, because it can be changed into a prime (257000977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18705 + ... + 29391.

Almost surely, 2^257000976 is an apocalyptic number.

257000976 is the 8016-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257000976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361810176).

257000976 is an abundant number, since it is smaller than the sum of its proper divisors (466619376).

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

257000976 is a wasteful number, since it uses less digits than its factorization.

257000976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10868 (or 10859 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 257000976 is about 16031.2499824561. The cubic root of 257000976 is about 635.7869228067.

The spelling of 257000976 in words is "two hundred fifty-seven million, nine hundred seventy-six", and thus it is an aban number.