381552864 has 192 divisors, whose sum is σ = 1268047872. Its totient is φ = 97574400.

The previous prime is 381552863. The next prime is 381552893. The reversal of 381552864 is 468255183.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381552863) 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, 524469 + ... + 525195.

It is an arithmetic number, because the mean of its divisors is an integer number (6604416).

Almost surely, 2^381552864 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 381552864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634023936).

381552864 is an abundant number, since it is smaller than the sum of its proper divisors (886495008).

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

381552864 is a wasteful number, since it uses less digits than its factorization.

381552864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 821 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 381552864 is about 19533.3782024513. The cubic root of 381552864 is about 725.3009382458.

The spelling of 381552864 in words is "three hundred eighty-one million, five hundred fifty-two thousand, eight hundred sixty-four".