381484584 has 144 divisors (see below), whose sum is σ = 1175346900. Its totient is φ = 111103488.

The previous prime is 381484567. The next prime is 381484591. The reversal of 381484584 is 485484183.

It can be written as a sum of positive squares in 2 ways, for example, as 312228900 + 69255684 = 17670^2 + 8322^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 337332 + ... + 338460.

Almost surely, 2^381484584 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 381484584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587673450).

381484584 is an abundant number, since it is smaller than the sum of its proper divisors (793862316).

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

381484584 is a wasteful number, since it uses less digits than its factorization.

381484584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1166 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 381484584 is about 19531.6303466966. The cubic root of 381484584 is about 725.2576707573.

The spelling of 381484584 in words is "three hundred eighty-one million, four hundred eighty-four thousand, five hundred eighty-four".