442504832 has 256 divisors, whose sum is σ = 1233792000. Its totient is φ = 152616960.

The previous prime is 442504831. The next prime is 442504837. The reversal of 442504832 is 238405244.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442504831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3183419 + ... + 3183557.

It is an arithmetic number, because the mean of its divisors is an integer number (4819500).

Almost surely, 2^442504832 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 442504832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896000).

442504832 is an abundant number, since it is smaller than the sum of its proper divisors (791287168).

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

442504832 is a wasteful number, since it uses less digits than its factorization.

442504832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 442504832 is about 21035.7988201066. The cubic root of 442504832 is about 762.0310584999.

The spelling of 442504832 in words is "four hundred forty-two million, five hundred four thousand, eight hundred thirty-two".