380465200 has 60 divisors (see below), whose sum is σ = 917570488. Its totient is φ = 151603200.

The previous prime is 380465179. The next prime is 380465209. The reversal of 380465200 is 2564083.

It is a super-2 number, since 2×380465200² = 289507536822080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (380465209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 111520 + ... + 114880.

Almost surely, 2^380465200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458785244).

380465200 is an abundant number, since it is smaller than the sum of its proper divisors (537105288).

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

380465200 is a wasteful number, since it uses less digits than its factorization.

380465200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3651 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 380465200 is about 19505.5171682270. The cubic root of 380465200 is about 724.6110954242.

The spelling of 380465200 in words is "three hundred eighty million, four hundred sixty-five thousand, two hundred".