392442407424 has 240 divisors, whose sum is σ = 1164808873800. Its totient is φ = 127105597440.

The previous prime is 392442407419. The next prime is 392442407447. The reversal of 392442407424 is 424704244293.

392442407424 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 369216647424 + 23225760000 = 607632^2 + 152400^2 .

It is a super-2 number, since 2×392442407424² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 392442407424.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201354802 + ... + 201356750.

Almost surely, 2^392442407424 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 392442407424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582404436900).

392442407424 is an abundant number, since it is smaller than the sum of its proper divisors (772366466376).

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

392442407424 is a wasteful number, since it uses less digits than its factorization.

392442407424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 392442407424 in words is "three hundred ninety-two billion, four hundred forty-two million, four hundred seven thousand, four hundred twenty-four".