390117984 has 48 divisors (see below), whose sum is σ = 1028708352. Its totient is φ = 129449088.

The previous prime is 390117983. The next prime is 390117991. The reversal of 390117984 is 489711093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390117983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12297 + ... + 30519.

It is an arithmetic number, because the mean of its divisors is an integer number (21431424).

Almost surely, 2^390117984 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 390117984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514354176).

390117984 is an abundant number, since it is smaller than the sum of its proper divisors (638590368).

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

390117984 is a wasteful number, since it uses less digits than its factorization.

390117984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18459 (or 18451 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 390117984 is about 19751.4046082804. The cubic root of 390117984 is about 730.6880258791.

The spelling of 390117984 in words is "three hundred ninety million, one hundred seventeen thousand, nine hundred eighty-four".