380989440 has 416 divisors, whose sum is σ = 1486175040. Its totient is φ = 92012544.

The previous prime is 380989391. The next prime is 380989451. The reversal of 380989440 is 44989083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7188454 + ... + 7188506.

Almost surely, 2^380989440 is an apocalyptic number.

380989440 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 380989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743087520).

380989440 is an abundant number, since it is smaller than the sum of its proper divisors (1105185600).

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

380989440 is a wasteful number, since it uses less digits than its factorization.

380989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 380989440 is about 19518.9507914744. The cubic root of 380989440 is about 724.9437546537.

The spelling of 380989440 in words is "three hundred eighty million, nine hundred eighty-nine thousand, four hundred forty".