387508968 has 256 divisors, whose sum is σ = 1401753600. Its totient is φ = 96180480.

The previous prime is 387508951. The next prime is 387508973. The reversal of 387508968 is 869805783.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382030 + ... + 383042.

It is an arithmetic number, because the mean of its divisors is an integer number (5475600).

Almost surely, 2^387508968 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 387508968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700876800).

387508968 is an abundant number, since it is smaller than the sum of its proper divisors (1014244632).

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

387508968 is a wasteful number, since it uses less digits than its factorization.

387508968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 387508968 is about 19685.2474711394. The cubic root of 387508968 is about 729.0554920585.

The spelling of 387508968 in words is "three hundred eighty-seven million, five hundred eight thousand, nine hundred sixty-eight".