381559680 has 256 divisors, whose sum is σ = 1374796800. Its totient is φ = 99993600.

The previous prime is 381559669. The next prime is 381559681. The reversal of 381559680 is 86955183.

381559680 is a `hidden beast` number, since 38 + 1 + 559 + 68 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381559681) by changing a digit.

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, 1226725 + ... + 1227035.

It is an arithmetic number, because the mean of its divisors is an integer number (5370300).

Almost surely, 2^381559680 is an apocalyptic number.

381559680 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 381559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687398400).

381559680 is an abundant number, since it is smaller than the sum of its proper divisors (993237120).

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

381559680 is a wasteful number, since it uses less digits than its factorization.

381559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 381559680 is about 19533.5526722611. The cubic root of 381559680 is about 725.3052571072.

The spelling of 381559680 in words is "three hundred eighty-one million, five hundred fifty-nine thousand, six hundred eighty".