390216960 has 288 divisors, whose sum is σ = 1583527680. Its totient is φ = 89137152.

The previous prime is 390216949. The next prime is 390216961. The reversal of 390216960 is 69612093.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390216961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241114 + ... + 242726.

It is an arithmetic number, because the mean of its divisors is an integer number (5498360).

Almost surely, 2^390216960 is an apocalyptic number.

390216960 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 390216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791763840).

390216960 is an abundant number, since it is smaller than the sum of its proper divisors (1193310720).

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

390216960 is a wasteful number, since it uses less digits than its factorization.

390216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 390216960 is about 19753.9099927078. The cubic root of 390216960 is about 730.7498144198.

The spelling of 390216960 in words is "three hundred ninety million, two hundred sixteen thousand, nine hundred sixty".