442320372 has 96 divisors (see below), whose sum is σ = 1240162560. Its totient is φ = 135527040.

The previous prime is 442320371. The next prime is 442320401. The reversal of 442320372 is 273023244.

It is a super-2 number, since 2×442320372² = 391294622972436768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442320371) 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, 436138 + ... + 437150.

It is an arithmetic number, because the mean of its divisors is an integer number (12918360).

Almost surely, 2^442320372 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 442320372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620081280).

442320372 is an abundant number, since it is smaller than the sum of its proper divisors (797842188).

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

442320372 is a wasteful number, since it uses less digits than its factorization.

442320372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 442320372 is about 21031.4139324963. The cubic root of 442320372 is about 761.9251584999.

The spelling of 442320372 in words is "four hundred forty-two million, three hundred twenty thousand, three hundred seventy-two".