392213664 has 336 divisors, whose sum is σ = 1308871872. Its totient is φ = 114960384.

The previous prime is 392213617. The next prime is 392213669. The reversal of 392213664 is 466312293.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (392213669) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9121227 + ... + 9121269.

It is an arithmetic number, because the mean of its divisors is an integer number (3895452).

Almost surely, 2^392213664 is an apocalyptic number.

392213664 is a gapful number since it is divisible by the number (34) 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 392213664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654435936).

392213664 is an abundant number, since it is smaller than the sum of its proper divisors (916658208).

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

392213664 is a wasteful number, since it uses less digits than its factorization.

392213664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 392213664 is about 19804.3849689911. The cubic root of 392213664 is about 731.9940875631.

The spelling of 392213664 in words is "three hundred ninety-two million, two hundred thirteen thousand, six hundred sixty-four".