457693960 has 32 divisors (see below), whose sum is σ = 1030420800. Its totient is φ = 182969280.

The previous prime is 457693949. The next prime is 457693961. The reversal of 457693960 is 69396754.

It is a super-2 number, since 2×457693960² = 418967522040963200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (457693961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128605 + ... + 132115.

It is an arithmetic number, because the mean of its divisors is an integer number (32200650).

Almost surely, 2^457693960 is an apocalyptic number.

457693960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457693960 is an abundant number, since it is smaller than the sum of its proper divisors (572726840).

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

457693960 is a wasteful number, since it uses less digits than its factorization.

457693960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6781 (or 6777 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

The square root of 457693960 is about 21393.7832091475. The cubic root of 457693960 is about 770.6521489199.

It can be divided in two parts, 45769 and 3960, that added together give a square (49729 = 223²).

The spelling of 457693960 in words is "four hundred fifty-seven million, six hundred ninety-three thousand, nine hundred sixty".