386964864 has 448 divisors, whose sum is σ = 1404723600. Its totient is φ = 104509440.

The previous prime is 386964859. The next prime is 386964871. The reversal of 386964864 is 468469683.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 386964864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13343602 + ... + 13343630.

Almost surely, 2^386964864 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 386964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702361800).

386964864 is an abundant number, since it is smaller than the sum of its proper divisors (1017758736).

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

386964864 is a wasteful number, since it uses less digits than its factorization.

386964864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 386964864 is about 19671.4225210075. The cubic root of 386964864 is about 728.7141082898.

The spelling of 386964864 in words is "three hundred eighty-six million, nine hundred sixty-four thousand, eight hundred sixty-four".