390880512 has 288 divisors, whose sum is σ = 1298021760. Its totient is φ = 115015680.

The previous prime is 390880463. The next prime is 390880573. The reversal of 390880512 is 215088093.

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

It is a super-2 number, since 2×390880512² = 305575149322764288, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4029648 + ... + 4029744.

It is an arithmetic number, because the mean of its divisors is an integer number (4507020).

Almost surely, 2^390880512 is an apocalyptic number.

390880512 is a gapful number since it is divisible by the number (32) 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 390880512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649010880).

390880512 is an abundant number, since it is smaller than the sum of its proper divisors (907141248).

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

390880512 is a wasteful number, since it uses less digits than its factorization.

390880512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 390880512 is about 19770.6983184712. The cubic root of 390880512 is about 731.1637857595.

The spelling of 390880512 in words is "three hundred ninety million, eight hundred eighty thousand, five hundred twelve".