257973066 has 64 divisors (see below), whose sum is σ = 632499840. Its totient is φ = 77431680.

The previous prime is 257973049. The next prime is 257973071. The reversal of 257973066 is 660379752.

257973066 is a `hidden beast` number, since 2 + 579 + 73 + 0 + 6 + 6 = 666.

257973066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon 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, 24301 + ... + 33263.

It is an arithmetic number, because the mean of its divisors is an integer number (9882810).

Almost surely, 2^257973066 is an apocalyptic number.

257973066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 257973066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316249920).

257973066 is an abundant number, since it is smaller than the sum of its proper divisors (374526774).

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

257973066 is a wasteful number, since it uses less digits than its factorization.

257973066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9028 (or 9022 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 257973066 is about 16061.5399635278. The cubic root of 257973066 is about 636.5875222410.

The spelling of 257973066 in words is "two hundred fifty-seven million, nine hundred seventy-three thousand, sixty-six".