387458856 has 128 divisors (see below), whose sum is σ = 1120694400. Its totient is φ = 123932160.

The previous prime is 387458803. The next prime is 387458861. The reversal of 387458856 is 658854783.

387458856 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 588 + 56 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593026 + ... + 593678.

It is an arithmetic number, because the mean of its divisors is an integer number (8755425).

Almost surely, 2^387458856 is an apocalyptic number.

387458856 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 387458856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560347200).

387458856 is an abundant number, since it is smaller than the sum of its proper divisors (733235544).

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

387458856 is a wasteful number, since it uses less digits than its factorization.

387458856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 766 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 387458856 is about 19683.9745986424. The cubic root of 387458856 is about 729.0240639654.

The spelling of 387458856 in words is "three hundred eighty-seven million, four hundred fifty-eight thousand, eight hundred fifty-six".