392008064 has 32 divisors (see below), whose sum is σ = 892520400. Its totient is φ = 168003072.

The previous prime is 392008061. The next prime is 392008069. The reversal of 392008064 is 460800293.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 392008064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392008061) 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 3 ways as a sum of consecutive naturals, for example, 217859 + ... + 219650.

Almost surely, 2^392008064 is an apocalyptic number.

It is an amenable number.

392008064 is an abundant number, since it is smaller than the sum of its proper divisors (500512336).

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

392008064 is an equidigital number, since it uses as much as digits as its factorization.

392008064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437530 (or 437518 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 392008064 is about 19799.1935189290. The cubic root of 392008064 is about 731.8661604466.

The spelling of 392008064 in words is "three hundred ninety-two million, eight thousand, sixty-four".