387416160 has 72 divisors (see below), whose sum is σ = 1322062560. Its totient is φ = 103310592.

The previous prime is 387416153. The next prime is 387416173. The reversal of 387416160 is 61614783.

387416160 is a `hidden beast` number, since 3 + 87 + 416 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 133080 + ... + 135959.

It is an arithmetic number, because the mean of its divisors is an integer number (18361980).

Almost surely, 2^387416160 is an apocalyptic number.

387416160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

387416160 is an abundant number, since it is smaller than the sum of its proper divisors (934646400).

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

387416160 is a wasteful number, since it uses less digits than its factorization.

387416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269060 (or 269049 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 387416160 is about 19682.8900317001. The cubic root of 387416160 is about 728.9972847308.

The spelling of 387416160 in words is "three hundred eighty-seven million, four hundred sixteen thousand, one hundred sixty".