456799401 has 12 divisors (see below), whose sum is σ = 698634612. Its totient is φ = 286619136.

The previous prime is 456799397. The next prime is 456799403. The reversal of 456799401 is 104997654.

It can be written as a sum of positive squares in 2 ways, for example, as 205893801 + 250905600 = 14349^2 + 15840^2 .

It is not a de Polignac number, because 456799401 - 2² = 456799397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456799403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1492656 + ... + 1492961.

It is an arithmetic number, because the mean of its divisors is an integer number (58219551).

Almost surely, 2^456799401 is an apocalyptic number.

It is an amenable number.

456799401 is a deficient number, since it is larger than the sum of its proper divisors (241835211).

456799401 is a wasteful number, since it uses less digits than its factorization.

456799401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985640 (or 2985637 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 456799401 is about 21372.8659987377. The cubic root of 456799401 is about 770.1497437449.

The spelling of 456799401 in words is "four hundred fifty-six million, seven hundred ninety-nine thousand, four hundred one".