392542920 has 576 divisors, whose sum is σ = 1724112000. Its totient is φ = 76769280.

The previous prime is 392542901. The next prime is 392542951. The reversal of 392542920 is 29245293.

392542920 is a `hidden beast` number, since 3 + 92 + 542 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23090752 + ... + 23090768.

It is an arithmetic number, because the mean of its divisors is an integer number (2993250).

Almost surely, 2^392542920 is an apocalyptic number.

392542920 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 392542920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862056000).

392542920 is an abundant number, since it is smaller than the sum of its proper divisors (1331569080).

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

392542920 is a wasteful number, since it uses less digits than its factorization.

392542920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 392542920 is about 19812.6959296306. The cubic root of 392542920 is about 732.1988620324.

The spelling of 392542920 in words is "three hundred ninety-two million, five hundred forty-two thousand, nine hundred twenty".