387932160 has 448 divisors, whose sum is σ = 1585350144. Its totient is φ = 78643200.

The previous prime is 387932117. The next prime is 387932173. The reversal of 387932160 is 61239783.

It is a tau number, because it is divible by the number of its divisors (448).

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 31 ways as a sum of consecutive naturals, for example, 9461740 + ... + 9461780.

It is an arithmetic number, because the mean of its divisors is an integer number (3538728).

Almost surely, 2^387932160 is an apocalyptic number.

387932160 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 387932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792675072).

387932160 is an abundant number, since it is smaller than the sum of its proper divisors (1197417984).

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

387932160 is a wasteful number, since it uses less digits than its factorization.

387932160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 387932160 is about 19695.9935012174. The cubic root of 387932160 is about 729.3207919025.

The spelling of 387932160 in words is "three hundred eighty-seven million, nine hundred thirty-two thousand, one hundred sixty".