392424120 has 192 divisors, whose sum is σ = 1425846240. Its totient is φ = 92774400.

The previous prime is 392424101. The next prime is 392424167. The reversal of 392424120 is 21424293.

392424120 is a `hidden beast` number, since 3 + 9 + 242 + 412 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 161152 + ... + 163568.

Almost surely, 2^392424120 is an apocalyptic number.

392424120 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 392424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712923120).

392424120 is an abundant number, since it is smaller than the sum of its proper divisors (1033422120).

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

392424120 is a wasteful number, since it uses less digits than its factorization.

392424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 392424120 is about 19809.6976251532. The cubic root of 392424120 is about 732.1249898543.

The spelling of 392424120 in words is "three hundred ninety-two million, four hundred twenty-four thousand, one hundred twenty".