457417632 has 48 divisors (see below), whose sum is σ = 1372254912. Its totient is φ = 130690560.

The previous prime is 457417621. The next prime is 457417651. The reversal of 457417632 is 236714754.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339669 + ... + 341012.

It is an arithmetic number, because the mean of its divisors is an integer number (28588644).

Almost surely, 2^457417632 is an apocalyptic number.

457417632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

457417632 is an abundant number, since it is smaller than the sum of its proper divisors (914837280).

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

457417632 is a wasteful number, since it uses less digits than its factorization.

457417632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680701 (or 680693 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 457417632 is about 21387.3240962959. The cubic root of 457417632 is about 770.4970266067.

The spelling of 457417632 in words is "four hundred fifty-seven million, four hundred seventeen thousand, six hundred thirty-two".