381542400 has 420 divisors, whose sum is σ = 1474863192. Its totient is φ = 97320960.

The previous prime is 381542323. The next prime is 381542411. The reversal of 381542400 is 4245183.

381542400 is a `hidden beast` number, since 3 + 81 + 542 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16588789 + ... + 16588811.

Almost surely, 2^381542400 is an apocalyptic number.

381542400 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 381542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737431596).

381542400 is an abundant number, since it is smaller than the sum of its proper divisors (1093320792).

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

381542400 is an equidigital number, since it uses as much as digits as its factorization.

381542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 381542400 is about 19533.1103514008. The cubic root of 381542400 is about 725.2943077811.

Adding to 381542400 its reverse (4245183), we get a palindrome (385787583).

The spelling of 381542400 in words is "three hundred eighty-one million, five hundred forty-two thousand, four hundred".