387501408 has 288 divisors, whose sum is σ = 1342746720. Its totient is φ = 109734912.

The previous prime is 387501377. The next prime is 387501421. The reversal of 387501408 is 804105783.

It is a tau number, because it is divible by the number of its divisors (288).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3429160 + ... + 3429272.

It is an arithmetic number, because the mean of its divisors is an integer number (4662315).

Almost surely, 2^387501408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387501408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671373360).

387501408 is an abundant number, since it is smaller than the sum of its proper divisors (955245312).

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

387501408 is an equidigital number, since it uses as much as digits as its factorization.

387501408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 387501408 is about 19685.0554482328. The cubic root of 387501408 is about 729.0507509249.

The spelling of 387501408 in words is "three hundred eighty-seven million, five hundred one thousand, four hundred eight".