380667456 has 168 divisors, whose sum is σ = 1216258680. Its totient is φ = 113025024.

The previous prime is 380667437. The next prime is 380667461. The reversal of 380667456 is 654766083.

It can be written as a sum of positive squares in 4 ways, for example, as 3686400 + 376981056 = 1920^2 + 19416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216276 + ... + 218028.

It is an arithmetic number, because the mean of its divisors is an integer number (7239635).

Almost surely, 2^380667456 is an apocalyptic number.

380667456 is a gapful number since it is divisible by the number (36) 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 380667456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608129340).

380667456 is an abundant number, since it is smaller than the sum of its proper divisors (835591224).

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

380667456 is a wasteful number, since it uses less digits than its factorization.

380667456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 380667456 is about 19510.7010637752. The cubic root of 380667456 is about 724.7394742084.

The spelling of 380667456 in words is "three hundred eighty million, six hundred sixty-seven thousand, four hundred fifty-six".