390448880 has 80 divisors (see below), whose sum is σ = 938672064. Its totient is φ = 150958080.

The previous prime is 390448873. The next prime is 390448907. The reversal of 390448880 is 88844093.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300392 + ... + 301688.

Almost surely, 2^390448880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390448880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469336032).

390448880 is an abundant number, since it is smaller than the sum of its proper divisors (548223184).

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

390448880 is a wasteful number, since it uses less digits than its factorization.

390448880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 390448880 is about 19759.7793509948. The cubic root of 390448880 is about 730.8945560638.

The spelling of 390448880 in words is "three hundred ninety million, four hundred forty-eight thousand, eight hundred eighty".