390442880 has 64 divisors (see below), whose sum is σ = 940729680. Its totient is φ = 154951680.

The previous prime is 390442879. The next prime is 390442901. The reversal of 390442880 is 88244093.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81512 + ... + 86168.

Almost surely, 2^390442880 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 390442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470364840).

390442880 is an abundant number, since it is smaller than the sum of its proper divisors (550286800).

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

390442880 is a wasteful number, since it uses less digits than its factorization.

390442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4807 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 390442880 is about 19759.6275268538. The cubic root of 390442880 is about 730.8908121765.

The spelling of 390442880 in words is "three hundred ninety million, four hundred forty-two thousand, eight hundred eighty".