381579660 has 720 divisors, whose sum is σ = 1668522240. Its totient is φ = 71850240.

The previous prime is 381579659. The next prime is 381579677. The reversal of 381579660 is 66975183.

It is a happy number.

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 239 ways as a sum of consecutive naturals, for example, 16590409 + ... + 16590431.

It is an arithmetic number, because the mean of its divisors is an integer number (2317392).

Almost surely, 2^381579660 is an apocalyptic number.

381579660 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 381579660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834261120).

381579660 is an abundant number, since it is smaller than the sum of its proper divisors (1286942580).

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

381579660 is a wasteful number, since it uses less digits than its factorization.

381579660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 381579660 is about 19534.0640932705. The cubic root of 381579660 is about 725.3179168534.

The spelling of 381579660 in words is "three hundred eighty-one million, five hundred seventy-nine thousand, six hundred sixty".