442072832 has 36 divisors (see below), whose sum is σ = 884467416. Its totient is φ = 220523520.

The previous prime is 442072831. The next prime is 442072847. The reversal of 442072832 is 238270244.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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 (442072831) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123938 + ... + 127454.

Almost surely, 2^442072832 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 442072832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442233708).

442072832 is an abundant number, since it is smaller than the sum of its proper divisors (442394584).

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

442072832 is an equidigital number, since it uses as much as digits as its factorization.

442072832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 442072832 is about 21025.5281027612. The cubic root of 442072832 is about 761.7829974777.

The spelling of 442072832 in words is "four hundred forty-two million, seventy-two thousand, eight hundred thirty-two".