387855360 has 264 divisors, whose sum is σ = 1417834080. Its totient is φ = 97763328.

The previous prime is 387855359. The next prime is 387855383. The reversal of 387855360 is 63558783.

387855360 is a `hidden beast` number, since 38 + 7 + 8 + 553 + 60 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 875299 + ... + 875741.

Almost surely, 2^387855360 is an apocalyptic number.

387855360 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 387855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708917040).

387855360 is an abundant number, since it is smaller than the sum of its proper divisors (1029978720).

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

387855360 is a wasteful number, since it uses less digits than its factorization.

387855360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 387855360 is about 19694.0437696274. The cubic root of 387855360 is about 729.2726601763.

The spelling of 387855360 in words is "three hundred eighty-seven million, eight hundred fifty-five thousand, three hundred sixty".