380432200 has 96 divisors (see below), whose sum is σ = 911727360. Its totient is φ = 147571200.

The previous prime is 380432197. The next prime is 380432203. The reversal of 380432200 is 2234083.

It is an interprime number because it is at equal distance from previous prime (380432197) and next prime (380432203).

It is not an unprimeable number, because it can be changed into a prime (380432203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1036417 + ... + 1036783.

It is an arithmetic number, because the mean of its divisors is an integer number (9497160).

Almost surely, 2^380432200 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 380432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455863680).

380432200 is an abundant number, since it is smaller than the sum of its proper divisors (531295160).

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

380432200 is a wasteful number, since it uses less digits than its factorization.

380432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 380432200 is about 19504.6712353733. The cubic root of 380432200 is about 724.5901448813.

Adding to 380432200 its reverse (2234083), we get a palindrome (382666283).

The spelling of 380432200 in words is "three hundred eighty million, four hundred thirty-two thousand, two hundred".