380419744 has 48 divisors (see below), whose sum is σ = 795047400. Its totient is φ = 178561024.

The previous prime is 380419703. The next prime is 380419751. The reversal of 380419744 is 447914083.

It can be written as a sum of positive squares in 4 ways, for example, as 377136400 + 3283344 = 19420^2 + 1812^2 .

It is a junction number, because it is equal to n+sod(n) for n = 380419697 and 380419706.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308922 + ... + 310150.

Almost surely, 2^380419744 is an apocalyptic number.

380419744 is a gapful number since it is divisible by the number (34) 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 380419744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397523700).

380419744 is an abundant number, since it is smaller than the sum of its proper divisors (414627656).

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

380419744 is a wasteful number, since it uses less digits than its factorization.

380419744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 380419744 is about 19504.3519246347. The cubic root of 380419744 is about 724.5822366887.

The spelling of 380419744 in words is "three hundred eighty million, four hundred nineteen thousand, seven hundred forty-four".