442452456 has 192 divisors, whose sum is σ = 1306905600. Its totient is φ = 140107968.

The previous prime is 442452431. The next prime is 442452463. The reversal of 442452456 is 654254244.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 442452456 = 12³ + 762³ = 570³ + 636³.

It is a self number, because there is not a number n which added to its sum of digits gives 442452456.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5600625 + ... + 5600703.

It is an arithmetic number, because the mean of its divisors is an integer number (6806800).

Almost surely, 2^442452456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442452456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653452800).

442452456 is an abundant number, since it is smaller than the sum of its proper divisors (864453144).

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

442452456 is a wasteful number, since it uses less digits than its factorization.

442452456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 194 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 442452456 is about 21034.5538578787. The cubic root of 442452456 is about 762.0009920007. Note that the first 3 decimals are identical.

The spelling of 442452456 in words is "four hundred forty-two million, four hundred fifty-two thousand, four hundred fifty-six".