392120352 has 192 divisors, whose sum is σ = 1249758720. Its totient is φ = 120372480.

The previous prime is 392120329. The next prime is 392120357. The reversal of 392120352 is 253021293.

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

It is not an unprimeable number, because it can be changed into a prime (392120357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 909577 + ... + 910007.

It is an arithmetic number, because the mean of its divisors is an integer number (6509160).

Almost surely, 2^392120352 is an apocalyptic number.

392120352 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 392120352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624879360).

392120352 is an abundant number, since it is smaller than the sum of its proper divisors (857638368).

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

392120352 is an equidigital number, since it uses as much as digits as its factorization.

392120352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 392120352 is about 19802.0289869498. The cubic root of 392120352 is about 731.9360331096.

The spelling of 392120352 in words is "three hundred ninety-two million, one hundred twenty thousand, three hundred fifty-two".