381099264 has 432 divisors, whose sum is σ = 1370134080. Its totient is φ = 92897280.

The previous prime is 381099263. The next prime is 381099293. The reversal of 381099264 is 462990183.

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 (381099263) 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 47 ways as a sum of consecutive naturals, for example, 9295084 + ... + 9295124.

Almost surely, 2^381099264 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 381099264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685067040).

381099264 is an abundant number, since it is smaller than the sum of its proper divisors (989034816).

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

381099264 is a wasteful number, since it uses less digits than its factorization.

381099264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 381099264 is about 19521.7638547340. The cubic root of 381099264 is about 725.0134053804.

The spelling of 381099264 in words is "three hundred eighty-one million, ninety-nine thousand, two hundred sixty-four".