386976456 has 96 divisors (see below), whose sum is σ = 1075969440. Its totient is φ = 125604864.

The previous prime is 386976437. The next prime is 386976481. The reversal of 386976456 is 654679683.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467515 + ... + 468341.

It is an arithmetic number, because the mean of its divisors is an integer number (11208015).

Almost surely, 2^386976456 is an apocalyptic number.

386976456 is a gapful number since it is divisible by the number (36) 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 386976456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537984720).

386976456 is an abundant number, since it is smaller than the sum of its proper divisors (688992984).

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

386976456 is a wasteful number, since it uses less digits than its factorization.

386976456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 996 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 386976456 is about 19671.7171594144. The cubic root of 386976456 is about 728.7213847210.

The spelling of 386976456 in words is "three hundred eighty-six million, nine hundred seventy-six thousand, four hundred fifty-six".