456003401 has 8 divisors (see below), whose sum is σ = 548575680. Its totient is φ = 370288368.

The previous prime is 456003391. The next prime is 456003413. The reversal of 456003401 is 104300654.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456003401 - 2¹⁸ = 455741257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456003491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1714166 + ... + 1714431.

It is an arithmetic number, because the mean of its divisors is an integer number (68571960).

Almost surely, 2^456003401 is an apocalyptic number.

It is an amenable number.

456003401 is a deficient number, since it is larger than the sum of its proper divisors (92572279).

456003401 is a wasteful number, since it uses less digits than its factorization.

456003401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428623.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 456003401 is about 21354.2361371228. The cubic root of 456003401 is about 769.7021398109.

The spelling of 456003401 in words is "four hundred fifty-six million, three thousand, four hundred one".