392839920 has 240 divisors, whose sum is σ = 1452308832. Its totient is φ = 94371840.

The previous prime is 392839919. The next prime is 392839921. The reversal of 392839920 is 29938293.

It is an interprime number because it is at equal distance from previous prime (392839919) and next prime (392839921).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392839921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1528432 + ... + 1528688.

Almost surely, 2^392839920 is an apocalyptic number.

392839920 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 392839920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726154416).

392839920 is an abundant number, since it is smaller than the sum of its proper divisors (1059468912).

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

392839920 is a wasteful number, since it uses less digits than its factorization.

392839920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 392839920 is about 19820.1897064584. The cubic root of 392839920 is about 732.3834772930.

The spelling of 392839920 in words is "three hundred ninety-two million, eight hundred thirty-nine thousand, nine hundred twenty".