381990960 has 240 divisors, whose sum is σ = 1420159104. Its totient is φ = 91404288.

The previous prime is 381990943. The next prime is 381990977. The reversal of 381990960 is 69099183.

381990960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (381990943) and next prime (381990977).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345769 + ... + 346871.

Almost surely, 2^381990960 is an apocalyptic number.

381990960 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 381990960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710079552).

381990960 is an abundant number, since it is smaller than the sum of its proper divisors (1038168144).

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

381990960 is a wasteful number, since it uses less digits than its factorization.

381990960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 381990960 is about 19544.5890210053. The cubic root of 381990960 is about 725.5784270153.

The spelling of 381990960 in words is "three hundred eighty-one million, nine hundred ninety thousand, nine hundred sixty".