381052800 has 288 divisors, whose sum is σ = 1383627960. Its totient is φ = 99840000.

The previous prime is 381052783. The next prime is 381052801. The reversal of 381052800 is 8250183.

It is a happy number.

381052800 is a `hidden beast` number, since 381 + 0 + 5 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381052801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2908735 + ... + 2908865.

Almost surely, 2^381052800 is an apocalyptic number.

381052800 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 381052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691813980).

381052800 is an abundant number, since it is smaller than the sum of its proper divisors (1002575160).

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

381052800 is a wasteful number, since it uses less digits than its factorization.

381052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 381052800 is about 19520.5737620594. The cubic root of 381052800 is about 724.9839393985.

The spelling of 381052800 in words is "three hundred eighty-one million, fifty-two thousand, eight hundred".