380365440 has 384 divisors, whose sum is σ = 1523733120. Its totient is φ = 79994880.

The previous prime is 380365417. The next prime is 380365451. The reversal of 380365440 is 44563083.

It is a tau number, because it is divible by the number of its divisors (384).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1222885 + ... + 1223195.

It is an arithmetic number, because the mean of its divisors is an integer number (3968055).

Almost surely, 2^380365440 is an apocalyptic number.

380365440 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 380365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761866560).

380365440 is an abundant number, since it is smaller than the sum of its proper divisors (1143367680).

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

380365440 is a wasteful number, since it uses less digits than its factorization.

380365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 380365440 is about 19502.9597753777. The cubic root of 380365440 is about 724.5477575931.

The spelling of 380365440 in words is "three hundred eighty million, three hundred sixty-five thousand, four hundred forty".