380946240 has 392 divisors, whose sum is σ = 1439192448. Its totient is φ = 95800320.

The previous prime is 380946229. The next prime is 380946277. The reversal of 380946240 is 42649083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 380946195 and 380946204.

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 55 ways as a sum of consecutive naturals, for example, 5365405 + ... + 5365475.

Almost surely, 2^380946240 is an apocalyptic number.

380946240 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 380946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719596224).

380946240 is an abundant number, since it is smaller than the sum of its proper divisors (1058246208).

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

380946240 is an equidigital number, since it uses as much as digits as its factorization.

380946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 380946240 is about 19517.8441432449. The cubic root of 380946240 is about 724.9163534095.

The spelling of 380946240 in words is "three hundred eighty million, nine hundred forty-six thousand, two hundred forty".