381518480 has 160 divisors (see below), whose sum is σ = 1114214400. Its totient is φ = 118457856.

The previous prime is 381518479. The next prime is 381518551. The reversal of 381518480 is 84815183.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 31 ways as a sum of consecutive naturals, for example, 243941 + ... + 245499.

It is an arithmetic number, because the mean of its divisors is an integer number (6963840).

Almost surely, 2^381518480 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 381518480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557107200).

381518480 is an abundant number, since it is smaller than the sum of its proper divisors (732695920).

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

381518480 is a wasteful number, since it uses less digits than its factorization.

381518480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 381518480 is about 19532.4980481248. The cubic root of 381518480 is about 725.2791505296.

The spelling of 381518480 in words is "three hundred eighty-one million, five hundred eighteen thousand, four hundred eighty".