457580090 has 64 divisors (see below), whose sum is σ = 934053120. Its totient is φ = 159936000.

The previous prime is 457580089. The next prime is 457580099. The reversal of 457580090 is 90085754.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (457580099) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319496 + ... + 320924.

It is an arithmetic number, because the mean of its divisors is an integer number (14594580).

Almost surely, 2^457580090 is an apocalyptic number.

457580090 is an abundant number, since it is smaller than the sum of its proper divisors (476473030).

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

457580090 is a wasteful number, since it uses less digits than its factorization.

457580090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559.

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 457580090 is about 21391.1217564671. The cubic root of 457580090 is about 770.5882332569.

The spelling of 457580090 in words is "four hundred fifty-seven million, five hundred eighty thousand, ninety".