390788480 has 64 divisors (see below), whose sum is σ = 964414080. Its totient is φ = 151265280.

The previous prime is 390788477. The next prime is 390788501. The reversal of 390788480 is 84887093.

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

It is a super-2 number, since 2×390788480² = 305431272201420800, which contains 22 as substring.

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, 9992 + ... + 29688.

It is an arithmetic number, because the mean of its divisors is an integer number (15068970).

Almost surely, 2^390788480 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 390788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482207040).

390788480 is an abundant number, since it is smaller than the sum of its proper divisors (573625600).

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

390788480 is a wasteful number, since it uses less digits than its factorization.

390788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19747 (or 19735 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The square root of 390788480 is about 19768.3706966457. The cubic root of 390788480 is about 731.1063975933.

The spelling of 390788480 in words is "three hundred ninety million, seven hundred eighty-eight thousand, four hundred eighty".