390448512 has 96 divisors (see below), whose sum is σ = 1165262280. Its totient is φ = 130139136.

The previous prime is 390448507. The next prime is 390448519. The reversal of 390448512 is 215844093.

It is a tau number, because it is divible by the number of its divisors (96).

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 (390448519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24828 + ... + 37380.

Almost surely, 2^390448512 is an apocalyptic number.

390448512 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 390448512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582631140).

390448512 is an abundant number, since it is smaller than the sum of its proper divisors (774813768).

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

390448512 is an equidigital number, since it uses as much as digits as its factorization.

390448512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12582 (or 12558 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 390448512 is about 19759.7700391477. The cubic root of 390448512 is about 730.8943264398.

The spelling of 390448512 in words is "three hundred ninety million, four hundred forty-eight thousand, five hundred twelve".