390627360 has 336 divisors, whose sum is σ = 1472480856. Its totient is φ = 97542144.

The previous prime is 390627359. The next prime is 390627409. The reversal of 390627360 is 63726093.

It can be written as a sum of positive squares in 4 ways, for example, as 390615696 + 11664 = 19764^2 + 108^2 .

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 55 ways as a sum of consecutive naturals, for example, 1982782 + ... + 1982978.

Almost surely, 2^390627360 is an apocalyptic number.

390627360 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 390627360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736240428).

390627360 is an abundant number, since it is smaller than the sum of its proper divisors (1081853496).

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

390627360 is a wasteful number, since it uses less digits than its factorization.

390627360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 390627360 is about 19764.2950797644. The cubic root of 390627360 is about 731.0059066957.

The spelling of 390627360 in words is "three hundred ninety million, six hundred twenty-seven thousand, three hundred sixty".