442537920 has 336 divisors, whose sum is σ = 1695114720. Its totient is φ = 105062400.

The previous prime is 442537913. The next prime is 442537943. The reversal of 442537920 is 29735244.

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

It is a congruent number.

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, 1932366 + ... + 1932594.

Almost surely, 2^442537920 is an apocalyptic number.

442537920 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 442537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847557360).

442537920 is an abundant number, since it is smaller than the sum of its proper divisors (1252576800).

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

442537920 is a wasteful number, since it uses less digits than its factorization.

442537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 442537920 is about 21036.5852742312. The cubic root of 442537920 is about 762.0500514791.

The spelling of 442537920 in words is "four hundred forty-two million, five hundred thirty-seven thousand, nine hundred twenty".