381615408 has 160 divisors (see below), whose sum is σ = 1149926400. Its totient is φ = 121008384.

The previous prime is 381615407. The next prime is 381615433. The reversal of 381615408 is 804516183.

381615408 is a `hidden beast` number, since 38 + 1 + 615 + 4 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (381615401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1039641 + ... + 1040007.

It is an arithmetic number, because the mean of its divisors is an integer number (7187040).

Almost surely, 2^381615408 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 381615408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574963200).

381615408 is an abundant number, since it is smaller than the sum of its proper divisors (768310992).

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

381615408 is a wasteful number, since it uses less digits than its factorization.

381615408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 381615408 is about 19534.9790888038. The cubic root of 381615408 is about 725.3405664317.

The spelling of 381615408 in words is "three hundred eighty-one million, six hundred fifteen thousand, four hundred eight".