390366240 has 192 divisors, whose sum is σ = 1420675200. Its totient is φ = 89047040.

The previous prime is 390366227. The next prime is 390366241. The reversal of 390366240 is 42663093.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (390366241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87586 + ... + 91934.

It is an arithmetic number, because the mean of its divisors is an integer number (7399350).

Almost surely, 2^390366240 is an apocalyptic number.

390366240 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 390366240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710337600).

390366240 is an abundant number, since it is smaller than the sum of its proper divisors (1030308960).

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

390366240 is a wasteful number, since it uses less digits than its factorization.

390366240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 390366240 is about 19757.6881238671. The cubic root of 390366240 is about 730.8429868819.

The spelling of 390366240 in words is "three hundred ninety million, three hundred sixty-six thousand, two hundred forty".