456032442 has 16 divisors (see below), whose sum is σ = 913862880. Its totient is φ = 151711152.

The previous prime is 456032441. The next prime is 456032443. The reversal of 456032442 is 244230654.

It is an interprime number because it is at equal distance from previous prime (456032441) and next prime (456032443).

It is not an unprimeable number, because it can be changed into a prime (456032441) 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, 71608 + ... + 77715.

It is an arithmetic number, because the mean of its divisors is an integer number (57116430).

Almost surely, 2^456032442 is an apocalyptic number.

456032442 is an abundant number, since it is smaller than the sum of its proper divisors (457830438).

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

456032442 is a wasteful number, since it uses less digits than its factorization.

456032442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149837.

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 456032442 is about 21354.9161084749. The cubic root of 456032442 is about 769.7184791958.

The spelling of 456032442 in words is "four hundred fifty-six million, thirty-two thousand, four hundred forty-two".