257889996 has 72 divisors (see below), whose sum is σ = 802334624. Its totient is φ = 68014080.

The previous prime is 257889971. The next prime is 257890001. The reversal of 257889996 is 699988752.

It is a super-3 number, since 3×257889996³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 36085 + ... + 42636.

Almost surely, 2^257889996 is an apocalyptic number.

257889996 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

257889996 is an abundant number, since it is smaller than the sum of its proper divisors (544444628).

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

257889996 is a wasteful number, since it uses less digits than its factorization.

257889996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78751 (or 78746 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The square root of 257889996 is about 16058.9537641778. The cubic root of 257889996 is about 636.5191856463.

The spelling of 257889996 in words is "two hundred fifty-seven million, eight hundred eighty-nine thousand, nine hundred ninety-six".