457408291632 has 80 divisors (see below), whose sum is σ = 1251252673632. Its totient is φ = 143488430080.

The previous prime is 457408291603. The next prime is 457408291643. The reversal of 457408291632 is 236192804754.

It is a super-2 number, since 2×457408291632² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17107138 + ... + 17133854.

It is a 1-persistent number, because it is pandigital, but 2⋅457408291632 = 914816583264 is not.

Almost surely, 2^457408291632 is an apocalyptic number.

It is an amenable number.

457408291632 is an abundant number, since it is smaller than the sum of its proper divisors (793844382000).

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

457408291632 is a wasteful number, since it uses less digits than its factorization.

457408291632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47726 (or 47720 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 457408291632 in words is "four hundred fifty-seven billion, four hundred eight million, two hundred ninety-one thousand, six hundred thirty-two".