381866400 has 360 divisors, whose sum is σ = 1429221024. Its totient is φ = 99187200.

The previous prime is 381866363. The next prime is 381866411. The reversal of 381866400 is 4668183.

It is a happy number.

381866400 is a `hidden beast` number, since 3 + 8 + 1 + 8 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4600759 + ... + 4600841.

Almost surely, 2^381866400 is an apocalyptic number.

381866400 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 381866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714610512).

381866400 is an abundant number, since it is smaller than the sum of its proper divisors (1047354624).

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

381866400 is a wasteful number, since it uses less digits than its factorization.

381866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 381866400 is about 19541.4022014798. The cubic root of 381866400 is about 725.4995526582.

The spelling of 381866400 in words is "three hundred eighty-one million, eight hundred sixty-six thousand, four hundred".