457609000 has 32 divisors (see below), whose sum is σ = 1070807400. Its totient is φ = 183043200.

The previous prime is 457608961. The next prime is 457609037. The reversal of 457609000 is 906754.

It can be written as a sum of positive squares in 4 ways, for example, as 63904036 + 393704964 = 7994^2 + 19842^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227805 + ... + 229804.

Almost surely, 2^457609000 is an apocalyptic number.

457609000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457609000 is an abundant number, since it is smaller than the sum of its proper divisors (613198400).

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

457609000 is a wasteful number, since it uses less digits than its factorization.

457609000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457630 (or 457616 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 457609000 is about 21391.7974934319. The cubic root of 457609000 is about 770.6044615538.

The spelling of 457609000 in words is "four hundred fifty-seven million, six hundred nine thousand".