380366400 has 168 divisors, whose sum is σ = 1261099840. Its totient is φ = 100362240.

The previous prime is 380366353. The next prime is 380366419. The reversal of 380366400 is 4663083.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 522837 + ... + 523563.

Almost surely, 2^380366400 is an apocalyptic number.

380366400 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 380366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630549920).

380366400 is an abundant number, since it is smaller than the sum of its proper divisors (880733440).

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

380366400 is a wasteful number, since it uses less digits than its factorization.

380366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 380366400 is about 19502.9843870111. The cubic root of 380366400 is about 724.5483671518.

The spelling of 380366400 in words is "three hundred eighty million, three hundred sixty-six thousand, four hundred".