457580920 has 16 divisors (see below), whose sum is σ = 1029557160. Its totient is φ = 183032352.

The previous prime is 457580897. The next prime is 457580923. The reversal of 457580920 is 29085754.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 11439523 = 457580920 / (4 + 5 + 7 + 5 + 8 + 0 + 9 + 2 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457580923) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5719722 + ... + 5719801.

Almost surely, 2^457580920 is an apocalyptic number.

457580920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457580920 is an abundant number, since it is smaller than the sum of its proper divisors (571976240).

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

457580920 is a wasteful number, since it uses less digits than its factorization.

457580920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11439534 (or 11439530 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 457580920 is about 21391.1411570304. The cubic root of 457580920 is about 770.5886991774.

The spelling of 457580920 in words is "four hundred fifty-seven million, five hundred eighty thousand, nine hundred twenty".