457505640 has 48 divisors (see below), whose sum is σ = 1486894500. Its totient is φ = 122001408.

The previous prime is 457505639. The next prime is 457505663. The reversal of 457505640 is 46505754.

It is a happy number.

457505640 is a `hidden beast` number, since 4 + 5 + 7 + 5 + 0 + 5 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 454457124 + 3048516 = 21318^2 + 1746^2 .

It is a super-2 number, since 2×457505640² = 418622821263619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 457505595 and 457505604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 635065 + ... + 635784.

Almost surely, 2^457505640 is an apocalyptic number.

457505640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457505640 is an abundant number, since it is smaller than the sum of its proper divisors (1029388860).

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

457505640 is a wasteful number, since it uses less digits than its factorization.

457505640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270866 (or 1270859 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 457505640 is about 21389.3814777333. The cubic root of 457505640 is about 770.5464384564.

The spelling of 457505640 in words is "four hundred fifty-seven million, five hundred five thousand, six hundred forty".