392916480 has 160 divisors (see below), whose sum is σ = 1370590848. Its totient is φ = 95232000.

The previous prime is 392916479. The next prime is 392916497. The reversal of 392916480 is 84619293.

392916480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82155 + ... + 86805.

Almost surely, 2^392916480 is an apocalyptic number.

392916480 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 392916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685295424).

392916480 is an abundant number, since it is smaller than the sum of its proper divisors (977674368).

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

392916480 is a wasteful number, since it uses less digits than its factorization.

392916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 392916480 is about 19822.1209763234. The cubic root of 392916480 is about 732.4310519191.

The spelling of 392916480 in words is "three hundred ninety-two million, nine hundred sixteen thousand, four hundred eighty".