381853200 has 60 divisors (see below), whose sum is σ = 1223206928. Its totient is φ = 101827200.

The previous prime is 381853189. The next prime is 381853223. The reversal of 381853200 is 2358183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157906 + ... + 160305.

Almost surely, 2^381853200 is an apocalyptic number.

381853200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381853200 is an abundant number, since it is smaller than the sum of its proper divisors (841353728).

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

381853200 is a wasteful number, since it uses less digits than its factorization.

381853200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318232 (or 318221 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 381853200 is about 19541.0644541182. The cubic root of 381853200 is about 725.4911930989.

The spelling of 381853200 in words is "three hundred eighty-one million, eight hundred fifty-three thousand, two hundred".