390462120 has 288 divisors, whose sum is σ = 1408024800. Its totient is φ = 97293312.

The previous prime is 390462109. The next prime is 390462139. The reversal of 390462120 is 21264093.

390462120 is a `hidden beast` number, since 39 + 0 + 4 + 621 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2809011 + ... + 2809149.

It is an arithmetic number, because the mean of its divisors is an integer number (4888975).

Almost surely, 2^390462120 is an apocalyptic number.

390462120 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 390462120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704012400).

390462120 is an abundant number, since it is smaller than the sum of its proper divisors (1017562680).

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

390462120 is a wasteful number, since it uses less digits than its factorization.

390462120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 390462120 is about 19760.1143721386. The cubic root of 390462120 is about 730.9028174394.

The spelling of 390462120 in words is "three hundred ninety million, four hundred sixty-two thousand, one hundred twenty".