457980561 has 80 divisors (see below), whose sum is σ = 759773520. Its totient is φ = 273715200.

The previous prime is 457980547. The next prime is 457980587. The reversal of 457980561 is 165089754.

457980561 is a `hidden beast` number, since 4 + 5 + 7 + 9 + 80 + 561 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 106193025 + 351787536 = 10305^2 + 18756^2 .

It is not a de Polignac number, because 457980561 - 2⁵ = 457980529 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457980511) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4534411 + ... + 4534511.

It is an arithmetic number, because the mean of its divisors is an integer number (9497169).

Almost surely, 2^457980561 is an apocalyptic number.

It is an amenable number.

457980561 is a deficient number, since it is larger than the sum of its proper divisors (301792959).

457980561 is a wasteful number, since it uses less digits than its factorization.

457980561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 457980561 is about 21400.4803918043. The cubic root of 457980561 is about 770.8129722430.

The spelling of 457980561 in words is "four hundred fifty-seven million, nine hundred eighty thousand, five hundred sixty-one".