381124800 has 504 divisors, whose sum is σ = 1637792000. Its totient is φ = 82114560.

The previous prime is 381124759. The next prime is 381124817. The reversal of 381124800 is 8421183.

381124800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×381124800² = 290512226350080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1915101 + ... + 1915299.

Almost surely, 2^381124800 is an apocalyptic number.

381124800 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 381124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818896000).

381124800 is an abundant number, since it is smaller than the sum of its proper divisors (1256667200).

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

381124800 is a wasteful number, since it uses less digits than its factorization.

381124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 381124800 is about 19522.4178830390. The cubic root of 381124800 is about 725.0295984745.

Adding to 381124800 its reverse (8421183), we get a palindrome (389545983).

It can be divided in two parts, 381124 and 800, that added together give a square (381924 = 618²).

The spelling of 381124800 in words is "three hundred eighty-one million, one hundred twenty-four thousand, eight hundred".