392484144 has 240 divisors, whose sum is σ = 1209610080. Its totient is φ = 108810240.

The previous prime is 392484137. The next prime is 392484161. The reversal of 392484144 is 441484293.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9572764 + ... + 9572804.

It is an arithmetic number, because the mean of its divisors is an integer number (5040042).

Almost surely, 2^392484144 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 392484144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604805040).

392484144 is an abundant number, since it is smaller than the sum of its proper divisors (817125936).

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

392484144 is a wasteful number, since it uses less digits than its factorization.

392484144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 111 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 392484144 is about 19811.2125827775. The cubic root of 392484144 is about 732.1623158220.

The spelling of 392484144 in words is "three hundred ninety-two million, four hundred eighty-four thousand, one hundred forty-four".