442152000 has 448 divisors, whose sum is σ = 1711756800. Its totient is φ = 111513600.

The previous prime is 442151971. The next prime is 442152041. The reversal of 442152000 is 251244.

It is a super-2 number, since 2×442152000² = 390996782208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4967956 + ... + 4968044.

Almost surely, 2^442152000 is an apocalyptic number.

442152000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855878400).

442152000 is an abundant number, since it is smaller than the sum of its proper divisors (1269604800).

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

442152000 is a wasteful number, since it uses less digits than its factorization.

442152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 442152000 is about 21027.4106822500. The cubic root of 442152000 is about 761.8284690472.

The spelling of 442152000 in words is "four hundred forty-two million, one hundred fifty-two thousand".