380005440 has 168 divisors, whose sum is σ = 1256556288. Its totient is φ = 97198080.

The previous prime is 380005421. The next prime is 380005447. The reversal of 380005440 is 44500083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 380005440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380005447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3362824 + ... + 3362936.

Almost surely, 2^380005440 is an apocalyptic number.

380005440 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 380005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628278144).

380005440 is an abundant number, since it is smaller than the sum of its proper divisors (876550848).

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

380005440 is a wasteful number, since it uses less digits than its factorization.

380005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 380005440 is about 19493.7282221744. The cubic root of 380005440 is about 724.3191007111.

The spelling of 380005440 in words is "three hundred eighty million, five thousand, four hundred forty".