381480960 has 208 divisors, whose sum is σ = 1396532736. Its totient is φ = 87097344.

The previous prime is 381480943. The next prime is 381481027. The reversal of 381480960 is 69084183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429637 + ... + 430523.

Almost surely, 2^381480960 is an apocalyptic number.

381480960 is a gapful number since it is divisible by the number (30) 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 381480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698266368).

381480960 is an abundant number, since it is smaller than the sum of its proper divisors (1015051776).

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

381480960 is an equidigital number, since it uses as much as digits as its factorization.

381480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 381480960 is about 19531.5375738829. The cubic root of 381480960 is about 725.2553741664.

The spelling of 381480960 in words is "three hundred eighty-one million, four hundred eighty thousand, nine hundred sixty".