257988192 has 192 divisors, whose sum is σ = 894426624. Its totient is φ = 63037440.

The previous prime is 257988173. The next prime is 257988193. The reversal of 257988192 is 291889752.

It is a super-2 number, since 2×257988192² = 133115814422857728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257988193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124638 + ... + 126690.

It is an arithmetic number, because the mean of its divisors is an integer number (4658472).

Almost surely, 2^257988192 is an apocalyptic number.

257988192 is a gapful number since it is divisible by the number (22) 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 257988192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447213312).

257988192 is an abundant number, since it is smaller than the sum of its proper divisors (636438432).

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

257988192 is a wasteful number, since it uses less digits than its factorization.

257988192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2093 counting only the distinct ones).

The product of its digits is 725760, while the sum is 51.

The square root of 257988192 is about 16062.0108330184. The cubic root of 257988192 is about 636.5999638947.

The spelling of 257988192 in words is "two hundred fifty-seven million, nine hundred eighty-eight thousand, one hundred ninety-two".