380201472 has 160 divisors (see below), whose sum is σ = 1286524800. Its totient is φ = 108601344.

The previous prime is 380201467. The next prime is 380201501. The reversal of 380201472 is 274102083.

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

It is a zygodrome in base 4.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94804 + ... + 98732.

It is an arithmetic number, because the mean of its divisors is an integer number (8040780).

Almost surely, 2^380201472 is an apocalyptic number.

380201472 is a gapful number since it is divisible by the number (32) 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 380201472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643262400).

380201472 is an abundant number, since it is smaller than the sum of its proper divisors (906323328).

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

380201472 is an equidigital number, since it uses as much as digits as its factorization.

380201472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 380201472 is about 19498.7556526051. The cubic root of 380201472 is about 724.4436299047.

The spelling of 380201472 in words is "three hundred eighty million, two hundred one thousand, four hundred seventy-two".