883904400 has 150 divisors (see below), whose sum is σ = 3172378242. Its totient is φ = 235699200.

The previous prime is 883904389. The next prime is 883904407. The reversal of 883904400 is 4409388.

It can be written as a sum of positive squares in 3 ways, for example, as 129413376 + 754491024 = 11376^2 + 27468^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (883904407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 18760 + ... + 46040.

Almost surely, 2^883904400 is an apocalyptic number.

883904400 is a gapful number since it is divisible by the number (80) 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 883904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586189121).

883904400 is an abundant number, since it is smaller than the sum of its proper divisors (2288473842).

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

883904400 is a wasteful number, since it uses less digits than its factorization.

883904400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27311 (or 27291 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 883904400 is about 29730.5297631912. The cubic root of 883904400 is about 959.6991244618.

The spelling of 883904400 in words is "eight hundred eighty-three million, nine hundred four thousand, four hundred".