392376960 has 336 divisors, whose sum is σ = 1456564590. Its totient is φ = 101025792.

The previous prime is 392376947. The next prime is 392376997. The reversal of 392376960 is 69673293.

It can be written as a sum of positive squares in 3 ways, for example, as 321413184 + 70963776 = 17928^2 + 8424^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 13530226 + ... + 13530254.

Almost surely, 2^392376960 is an apocalyptic number.

392376960 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 392376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728282295).

392376960 is an abundant number, since it is smaller than the sum of its proper divisors (1064187630).

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

392376960 is an frugal number, since it uses more digits than its factorization.

392376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 392376960 is about 19808.5072632947. The cubic root of 392376960 is about 732.0956607043.

The spelling of 392376960 in words is "three hundred ninety-two million, three hundred seventy-six thousand, nine hundred sixty".