390977120 has 96 divisors (see below), whose sum is σ = 947552256. Its totient is φ = 152409600.

The previous prime is 390977063. The next prime is 390977141. The reversal of 390977120 is 21779093.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1442585 + ... + 1442855.

It is an arithmetic number, because the mean of its divisors is an integer number (9870336).

Almost surely, 2^390977120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390977120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473776128).

390977120 is an abundant number, since it is smaller than the sum of its proper divisors (556575136).

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

390977120 is a wasteful number, since it uses less digits than its factorization.

390977120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 38.

The square root of 390977120 is about 19773.1413791537. The cubic root of 390977120 is about 731.2240176806.

The spelling of 390977120 in words is "three hundred ninety million, nine hundred seventy-seven thousand, one hundred twenty".