380047590400 has 99 divisors (see below), whose sum is σ = 942302373591. Its totient is φ = 151979581440.

The previous prime is 380047590379. The next prime is 380047590401. The reversal of 380047590400 is 4095740083.

The square root of 380047590400 is 616480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 102748455936 + 277299134464 = 320544^2 + 526592^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (380047590401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 98634874 + ... + 98638726.

Almost surely, 2^380047590400 is an apocalyptic number.

380047590400 is the 616480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380047590400

380047590400 is an abundant number, since it is smaller than the sum of its proper divisors (562254783191).

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

380047590400 is an frugal number, since it uses more digits than its factorization.

380047590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7736 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 380047590400 in words is "three hundred eighty billion, forty-seven million, five hundred ninety thousand, four hundred".