456396429 has 32 divisors (see below), whose sum is σ = 648622080. Its totient is φ = 284847552.

The previous prime is 456396419. The next prime is 456396463. The reversal of 456396429 is 924693654.

It is not a de Polignac number, because 456396429 - 2⁷ = 456396301 is a prime.

Its product of digits (1399680) is a multiple of the sum of its prime divisors (729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456396419) 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, 1243404 + ... + 1243770.

It is an arithmetic number, because the mean of its divisors is an integer number (20269440).

Almost surely, 2^456396429 is an apocalyptic number.

It is an amenable number.

456396429 is a deficient number, since it is larger than the sum of its proper divisors (192225651).

456396429 is a wasteful number, since it uses less digits than its factorization.

456396429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729.

The product of its digits is 1399680, while the sum is 48.

The square root of 456396429 is about 21363.4367319493. The cubic root of 456396429 is about 769.9232109852.

The spelling of 456396429 in words is "four hundred fifty-six million, three hundred ninety-six thousand, four hundred twenty-nine".