257787992 has 128 divisors (see below), whose sum is σ = 631411200. Its totient is φ = 95769600.

The previous prime is 257787961. The next prime is 257788001. The reversal of 257787992 is 299787752.

257787992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1490018 + ... + 1490190.

It is an arithmetic number, because the mean of its divisors is an integer number (4932900).

Almost surely, 2^257787992 is an apocalyptic number.

257787992 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 257787992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315705600).

257787992 is an abundant number, since it is smaller than the sum of its proper divisors (373623208).

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

257787992 is a wasteful number, since it uses less digits than its factorization.

257787992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 56.

The square root of 257787992 is about 16055.7775271084. Note that the first 3 decimals coincide. The cubic root of 257787992 is about 636.4352531347.

The spelling of 257787992 in words is "two hundred fifty-seven million, seven hundred eighty-seven thousand, nine hundred ninety-two".