381931200 has 420 divisors, whose sum is σ = 1608248752. Its totient is φ = 87091200.

The previous prime is 381931183. The next prime is 381931213. The reversal of 381931200 is 2139183.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 906990 + ... + 907410.

Almost surely, 2^381931200 is an apocalyptic number.

381931200 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 381931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804124376).

381931200 is an abundant number, since it is smaller than the sum of its proper divisors (1226317552).

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

381931200 is a wasteful number, since it uses less digits than its factorization.

381931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 381931200 is about 19543.0601493215. The cubic root of 381931200 is about 725.5405877008.

It can be divided in two parts, 38193 and 1200, that added together give a palindrome (39393).

The spelling of 381931200 in words is "three hundred eighty-one million, nine hundred thirty-one thousand, two hundred".