442513296 has 45 divisors (see below), whose sum is σ = 1239129489. Its totient is φ = 147420288.

The previous prime is 442513289. The next prime is 442513327. The reversal of 442513296 is 692315244.

It is a happy number.

The square root of 442513296 is 21036.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12531600 + 429981696 = 3540^2 + 20736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 442513296.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 251556 + ... + 253308.

Almost surely, 2^442513296 is an apocalyptic number.

442513296 is the 21036-th square number.

It is an amenable number.

442513296 is an abundant number, since it is smaller than the sum of its proper divisors (796616193).

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

442513296 is an equidigital number, since it uses as much as digits as its factorization.

442513296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 1758 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The cubic root of 442513296 is about 762.0359170455.

Multiplying 442513296 by its sum of digits (36), we get a square (15930478656 = 126216²).

442513296 divided by its sum of digits (36) gives a square (12292036 = 3506²).

The spelling of 442513296 in words is "four hundred forty-two million, five hundred thirteen thousand, two hundred ninety-six".