390984048 has 120 divisors (see below), whose sum is σ = 1346767968. Its totient is φ = 103113216.

The previous prime is 390984017. The next prime is 390984049. The reversal of 390984048 is 840489093.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 390983994 and 390984012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390984049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1815 + ... + 28022.

Almost surely, 2^390984048 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 390984048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673383984).

390984048 is an abundant number, since it is smaller than the sum of its proper divisors (955783920).

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

390984048 is a wasteful number, since it uses less digits than its factorization.

390984048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29871 (or 29862 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 390984048 is about 19773.3165655132. The cubic root of 390984048 is about 731.2283366802.

The spelling of 390984048 in words is "three hundred ninety million, nine hundred eighty-four thousand, forty-eight".