381131400 has 192 divisors, whose sum is σ = 1285542720. Its totient is φ = 92851200.

The previous prime is 381131371. The next prime is 381131407. The reversal of 381131400 is 4131183.

It is a super-2 number, since 2×381131400² = 290522288131920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (381131407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1021614 + ... + 1021986.

It is an arithmetic number, because the mean of its divisors is an integer number (6695535).

Almost surely, 2^381131400 is an apocalyptic number.

381131400 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 381131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642771360).

381131400 is an abundant number, since it is smaller than the sum of its proper divisors (904411320).

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

381131400 is a wasteful number, since it uses less digits than its factorization.

381131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 381131400 is about 19522.5869187462. The cubic root of 381131400 is about 725.0337836021.

Adding to 381131400 its reverse (4131183), we get a palindrome (385262583).

The spelling of 381131400 in words is "three hundred eighty-one million, one hundred thirty-one thousand, four hundred".