380504174400 has 1176 divisors, whose sum is σ = 1660668174720. Its totient is φ = 83921080320.

The previous prime is 380504174389. The next prime is 380504174507. The reversal of 380504174400 is 4471405083.

380504174400 is a `hidden beast` number, since 3 + 80 + 5 + 0 + 4 + 174 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 236778397 + ... + 236780003.

Almost surely, 2^380504174400 is an apocalyptic number.

380504174400 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 380504174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830334087360).

380504174400 is an abundant number, since it is smaller than the sum of its proper divisors (1280164000320).

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

380504174400 is a wasteful number, since it uses less digits than its factorization.

380504174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 380504174400 its reverse (4471405083), we get a palindrome (384975579483).

The spelling of 380504174400 in words is "three hundred eighty billion, five hundred four million, one hundred seventy-four thousand, four hundred".