442397592 has 256 divisors, whose sum is σ = 1538611200. Its totient is φ = 114670080.

The previous prime is 442397573. The next prime is 442397597. The reversal of 442397592 is 295793244.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442397597) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1395418 + ... + 1395734.

It is an arithmetic number, because the mean of its divisors is an integer number (6010200).

Almost surely, 2^442397592 is an apocalyptic number.

442397592 is a gapful number since it is divisible by the number (42) 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 442397592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769305600).

442397592 is an abundant number, since it is smaller than the sum of its proper divisors (1096213608).

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

442397592 is a wasteful number, since it uses less digits than its factorization.

442397592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 442397592 is about 21033.2496775938. The cubic root of 442397592 is about 761.9694947178.

The spelling of 442397592 in words is "four hundred forty-two million, three hundred ninety-seven thousand, five hundred ninety-two".