392115960 has 288 divisors, whose sum is σ = 1397541600. Its totient is φ = 95208960.

The previous prime is 392115949. The next prime is 392115961. The reversal of 392115960 is 69511293.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392115961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5522725 + ... + 5522795.

It is an arithmetic number, because the mean of its divisors is an integer number (4852575).

Almost surely, 2^392115960 is an apocalyptic number.

392115960 is a gapful number since it is divisible by the number (30) 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 392115960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698770800).

392115960 is an abundant number, since it is smaller than the sum of its proper divisors (1005425640).

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

392115960 is a wasteful number, since it uses less digits than its factorization.

392115960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 392115960 is about 19801.9180889125. The cubic root of 392115960 is about 731.9333003814.

It can be divided in two parts, 3921 and 15960, that added together give a square (19881 = 141²).

The spelling of 392115960 in words is "three hundred ninety-two million, one hundred fifteen thousand, nine hundred sixty".