381462800 has 60 divisors (see below), whose sum is σ = 923286516. Its totient is φ = 151449600.

The previous prime is 381462773. The next prime is 381462841. The reversal of 381462800 is 8264183.

It can be written as a sum of positive squares in 6 ways, for example, as 1056784 + 380406016 = 1028^2 + 19504^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 51320 + ... + 58280.

Almost surely, 2^381462800 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 381462800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461643258).

381462800 is an abundant number, since it is smaller than the sum of its proper divisors (541823716).

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

381462800 is a wasteful number, since it uses less digits than its factorization.

381462800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7116 (or 7105 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 381462800 is about 19531.0726791951. The cubic root of 381462800 is about 725.2438656439.

The spelling of 381462800 in words is "three hundred eighty-one million, four hundred sixty-two thousand, eight hundred".