390918960 has 140 divisors (see below), whose sum is σ = 1362909792. Its totient is φ = 104229504.

The previous prime is 390918953. The next prime is 390918967. The reversal of 390918960 is 69819093.

It is an interprime number because it is at equal distance from previous prime (390918953) and next prime (390918967).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (390918967) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 54969 + ... + 61671.

Almost surely, 2^390918960 is an apocalyptic number.

390918960 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 390918960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681454896).

390918960 is an abundant number, since it is smaller than the sum of its proper divisors (971990832).

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

390918960 is an equidigital number, since it uses as much as digits as its factorization.

390918960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6734 (or 6713 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 390918960 is about 19771.6706426139. The cubic root of 390918960 is about 731.1877580159.

The spelling of 390918960 in words is "three hundred ninety million, nine hundred eighteen thousand, nine hundred sixty".