392920164 has 288 divisors, whose sum is σ = 1303271424. Its totient is φ = 97044480.

The previous prime is 392920163. The next prime is 392920181. The reversal of 392920164 is 461029293.

392920164 is a `hidden beast` number, since 392 + 9 + 201 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (392920163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5382432 + ... + 5382504.

It is an arithmetic number, because the mean of its divisors is an integer number (4525248).

Almost surely, 2^392920164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392920164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651635712).

392920164 is an abundant number, since it is smaller than the sum of its proper divisors (910351260).

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

392920164 is a wasteful number, since it uses less digits than its factorization.

392920164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 392920164 is about 19822.2139025892. The cubic root of 392920164 is about 732.4333410125.

The spelling of 392920164 in words is "three hundred ninety-two million, nine hundred twenty thousand, one hundred sixty-four".