386255520 has 384 divisors, whose sum is σ = 1580705280. Its totient is φ = 86261760.

The previous prime is 386255509. The next prime is 386255533. The reversal of 386255520 is 25552683.

It is a happy number.

386255520 is a `hidden beast` number, since 3 + 8 + 625 + 5 + 5 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1602600 + ... + 1602840.

It is an arithmetic number, because the mean of its divisors is an integer number (4116420).

Almost surely, 2^386255520 is an apocalyptic number.

386255520 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 386255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790352640).

386255520 is an abundant number, since it is smaller than the sum of its proper divisors (1194449760).

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

386255520 is a wasteful number, since it uses less digits than its factorization.

386255520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 386255520 is about 19653.3844413628. The cubic root of 386255520 is about 728.2685681399.

The spelling of 386255520 in words is "three hundred eighty-six million, two hundred fifty-five thousand, five hundred twenty".