456144402 has 32 divisors (see below), whose sum is σ = 1054339200. Its totient is φ = 128861568.

The previous prime is 456144389. The next prime is 456144407. The reversal of 456144402 is 204441654.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 456144402.

It is not an unprimeable number, because it can be changed into a prime (456144407) 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, 57277 + ... + 64752.

It is an arithmetic number, because the mean of its divisors is an integer number (32948100).

Almost surely, 2^456144402 is an apocalyptic number.

456144402 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

456144402 is an abundant number, since it is smaller than the sum of its proper divisors (598194798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456144402 is a wasteful number, since it uses less digits than its factorization.

456144402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122130.

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 456144402 is about 21357.5373580383. The cubic root of 456144402 is about 769.7814649409.

The spelling of 456144402 in words is "four hundred fifty-six million, one hundred forty-four thousand, four hundred two".