387080408 has 64 divisors (see below), whose sum is σ = 863654400. Its totient is φ = 160318080.

The previous prime is 387080401. The next prime is 387080413. The reversal of 387080408 is 804080783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387080401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88235 + ... + 92517.

It is an arithmetic number, because the mean of its divisors is an integer number (13494600).

Almost surely, 2^387080408 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 387080408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431827200).

387080408 is an abundant number, since it is smaller than the sum of its proper divisors (476573992).

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

387080408 is a wasteful number, since it uses less digits than its factorization.

387080408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4392 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 387080408 is about 19674.3591509355. The cubic root of 387080408 is about 728.7866300886.

The spelling of 387080408 in words is "three hundred eighty-seven million, eighty thousand, four hundred eight".