456304461 has 16 divisors (see below), whose sum is σ = 635102208. Its totient is φ = 291124800.

The previous prime is 456304447. The next prime is 456304481. The reversal of 456304461 is 164403654.

It is not a de Polignac number, because 456304461 - 2⁶ = 456304397 is a prime.

It is a super-2 number, since 2×456304461² = 416427522257001042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456304421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26925 + ... + 40466.

It is an arithmetic number, because the mean of its divisors is an integer number (39693888).

Almost surely, 2^456304461 is an apocalyptic number.

It is an amenable number.

456304461 is a deficient number, since it is larger than the sum of its proper divisors (178797747).

456304461 is a wasteful number, since it uses less digits than its factorization.

456304461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67492.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 456304461 is about 21361.2841608364. The cubic root of 456304461 is about 769.8714920189.

The spelling of 456304461 in words is "four hundred fifty-six million, three hundred four thousand, four hundred sixty-one".