380428440 has 128 divisors (see below), whose sum is σ = 1317288960. Its totient is φ = 86091264.

The previous prime is 380428429. The next prime is 380428493. The reversal of 380428440 is 44824083.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 84322 + ... + 88718.

It is an arithmetic number, because the mean of its divisors is an integer number (10291320).

Almost surely, 2^380428440 is an apocalyptic number.

380428440 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 380428440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658644480).

380428440 is an abundant number, since it is smaller than the sum of its proper divisors (936860520).

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

380428440 is a wasteful number, since it uses less digits than its factorization.

380428440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 380428440 is about 19504.5748479684. The cubic root of 380428440 is about 724.5877577122.

The spelling of 380428440 in words is "three hundred eighty million, four hundred twenty-eight thousand, four hundred forty".