390727920 has 240 divisors, whose sum is σ = 1370233728. Its totient is φ = 91322880.

The previous prime is 390727907. The next prime is 390727927. The reversal of 390727920 is 29727093.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390727927) 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, 5831727 + ... + 5831793.

Almost surely, 2^390727920 is an apocalyptic number.

390727920 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 390727920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685116864).

390727920 is an abundant number, since it is smaller than the sum of its proper divisors (979505808).

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

390727920 is a wasteful number, since it uses less digits than its factorization.

390727920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 390727920 is about 19766.8388975071. The cubic root of 390727920 is about 731.0686294288.

The spelling of 390727920 in words is "three hundred ninety million, seven hundred twenty-seven thousand, nine hundred twenty".