442624464 has 60 divisors (see below), whose sum is σ = 1248539136. Its totient is φ = 146373696.

The previous prime is 442624453. The next prime is 442624471. The reversal of 442624464 is 464426244.

It is a super-2 number, since 2×442624464² = 391832832262574592, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6187 + ... + 30389.

Almost surely, 2^442624464 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 442624464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624269568).

442624464 is an abundant number, since it is smaller than the sum of its proper divisors (805914672).

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

442624464 is a wasteful number, since it uses less digits than its factorization.

442624464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24344 (or 24335 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 442624464 is about 21038.6421615084. The cubic root of 442624464 is about 762.0997244811.

The spelling of 442624464 in words is "four hundred forty-two million, six hundred twenty-four thousand, four hundred sixty-four".