381122400 has 144 divisors (see below), whose sum is σ = 1246795200. Its totient is φ = 101122560.

The previous prime is 381122383. The next prime is 381122407. The reversal of 381122400 is 4221183.

381122400 is digitally balanced in base 3 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381122407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909391 + ... + 909809.

It is an arithmetic number, because the mean of its divisors is an integer number (8658300).

Almost surely, 2^381122400 is an apocalyptic number.

381122400 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 381122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623397600).

381122400 is an abundant number, since it is smaller than the sum of its proper divisors (865672800).

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

381122400 is a wasteful number, since it uses less digits than its factorization.

381122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 381122400 is about 19522.3564151462. The cubic root of 381122400 is about 725.0280765980.

Adding to 381122400 its reverse (4221183), we get a palindrome (385343583).

The spelling of 381122400 in words is "three hundred eighty-one million, one hundred twenty-two thousand, four hundred".