390944988 has 192 divisors, whose sum is σ = 1291852800. Its totient is φ = 99532800.

The previous prime is 390944987. The next prime is 390945001. The reversal of 390944988 is 889449093.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390944987) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243388 + ... + 244988.

It is an arithmetic number, because the mean of its divisors is an integer number (6728400).

Almost surely, 2^390944988 is an apocalyptic number.

390944988 is a gapful number since it is divisible by the number (38) 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 390944988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645926400).

390944988 is an abundant number, since it is smaller than the sum of its proper divisors (900907812).

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

390944988 is a wasteful number, since it uses less digits than its factorization.

390944988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 390944988 is about 19772.3288461425. The cubic root of 390944988 is about 731.2039855332.

The spelling of 390944988 in words is "three hundred ninety million, nine hundred forty-four thousand, nine hundred eighty-eight".