387015408 has 360 divisors, whose sum is σ = 1321582080. Its totient is φ = 109175040.

The previous prime is 387015403. The next prime is 387015443. The reversal of 387015408 is 804510783.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387015401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 12484353 + ... + 12484383.

Almost surely, 2^387015408 is an apocalyptic number.

387015408 is a gapful number since it is divisible by the number (38) 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 387015408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660791040).

387015408 is an abundant number, since it is smaller than the sum of its proper divisors (934566672).

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

387015408 is a wasteful number, since it uses less digits than its factorization.

387015408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 68 counting only the distinct ones).

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

The square root of 387015408 is about 19672.7071853367. The cubic root of 387015408 is about 728.7458342731.

The spelling of 387015408 in words is "three hundred eighty-seven million, fifteen thousand, four hundred eight".