392744352 has 384 divisors, whose sum is σ = 1427908608. Its totient is φ = 91238400.

The previous prime is 392744347. The next prime is 392744369. The reversal of 392744352 is 253447293.

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

It is a self number, because there is not a number n which added to its sum of digits gives 392744352.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5861823 + ... + 5861889.

It is an arithmetic number, because the mean of its divisors is an integer number (3718512).

Almost surely, 2^392744352 is an apocalyptic number.

392744352 is a gapful number since it is divisible by the number (32) 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 392744352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713954304).

392744352 is an abundant number, since it is smaller than the sum of its proper divisors (1035164256).

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

392744352 is a wasteful number, since it uses less digits than its factorization.

392744352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 392744352 is about 19817.7786848072. The cubic root of 392744352 is about 732.3240823613.

The spelling of 392744352 in words is "three hundred ninety-two million, seven hundred forty-four thousand, three hundred fifty-two".