386872560 has 120 divisors (see below), whose sum is σ = 1341235584. Its totient is φ = 99832320.

The previous prime is 386872537. The next prime is 386872561. The reversal of 386872560 is 65278683.

386872560 is a `hidden beast` number, since 3 + 8 + 6 + 87 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386872561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13654 + ... + 30986.

Almost surely, 2^386872560 is an apocalyptic number.

386872560 is a gapful number since it is divisible by the number (30) 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 386872560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670617792).

386872560 is an abundant number, since it is smaller than the sum of its proper divisors (954363024).

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

386872560 is a wasteful number, since it uses less digits than its factorization.

386872560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17383 (or 17374 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 386872560 is about 19669.0762365699. The cubic root of 386872560 is about 728.6561628257.

The spelling of 386872560 in words is "three hundred eighty-six million, eight hundred seventy-two thousand, five hundred sixty".