442590720 has 480 divisors, whose sum is σ = 1725318144. Its totient is φ = 95846400.

The previous prime is 442590713. The next prime is 442590737. The reversal of 442590720 is 27095244.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 14277105 + ... + 14277135.

Almost surely, 2^442590720 is an apocalyptic number.

442590720 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 442590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862659072).

442590720 is an abundant number, since it is smaller than the sum of its proper divisors (1282727424).

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

442590720 is a wasteful number, since it uses less digits than its factorization.

442590720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 442590720 is about 21037.8401933278. The cubic root of 442590720 is about 762.0803574640.

The spelling of 442590720 in words is "four hundred forty-two million, five hundred ninety thousand, seven hundred twenty".