392640 has 56 divisors (see below), whose sum is σ = 1249680. Its totient is φ = 104448.

The previous prime is 392629. The next prime is 392647. The reversal of 392640 is 46293.

392640 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 392640.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 392640.

It is not an unprimeable number, because it can be changed into a prime (392647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 756 + ... + 1164.

2³⁹²⁶⁴⁰ is an apocalyptic number.

392640 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 392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624840).

392640 is an abundant number, since it is smaller than the sum of its proper divisors (857040).

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

392640 is a wasteful number, since it uses less digits than its factorization.

392640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 392640 is about 626.6099265093. The cubic root of 392640 is about 73.2259217222.

The spelling of 392640 in words is "three hundred ninety-two thousand, six hundred forty".