387864960 has 128 divisors (see below), whose sum is σ = 1412985600. Its totient is φ = 88651776.

The previous prime is 387864941. The next prime is 387865003. The reversal of 387864960 is 69468783.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990 + ... + 27869.

It is an arithmetic number, because the mean of its divisors is an integer number (11038950).

Almost surely, 2^387864960 is an apocalyptic number.

387864960 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 387864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706492800).

387864960 is an abundant number, since it is smaller than the sum of its proper divisors (1025120640).

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

387864960 is a wasteful number, since it uses less digits than its factorization.

387864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28888 (or 28876 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 387864960 is about 19694.2874966321. The cubic root of 387864960 is about 729.2786769896.

The spelling of 387864960 in words is "three hundred eighty-seven million, eight hundred sixty-four thousand, nine hundred sixty".