383880400 has 60 divisors (see below), whose sum is σ = 976541292. Its totient is φ = 144517120.

The previous prime is 383880391. The next prime is 383880401. The reversal of 383880400 is 4088383.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 817216 + 383063184 = 904^2 + 19572^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383880401) 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, 21427 + ... + 35026.

Almost surely, 2^383880400 is an apocalyptic number.

It is an amenable number.

383880400 is an abundant number, since it is smaller than the sum of its proper divisors (592660892).

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

383880400 is a wasteful number, since it uses less digits than its factorization.

383880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56488 (or 56477 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 383880400 is about 19592.8660486413. The cubic root of 383880400 is about 726.7727683170.

The spelling of 383880400 in words is "three hundred eighty-three million, eight hundred eighty thousand, four hundred".