849578400 has 432 divisors, whose sum is σ = 3465903168. Its totient is φ = 193536000.

The previous prime is 849578399. The next prime is 849578413. The reversal of 849578400 is 4875948.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1346085 + ... + 1346715.

It is an arithmetic number, because the mean of its divisors is an integer number (8022924).

Almost surely, 2^849578400 is an apocalyptic number.

849578400 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 849578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732951584).

849578400 is an abundant number, since it is smaller than the sum of its proper divisors (2616324768).

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

849578400 is a wasteful number, since it uses less digits than its factorization.

849578400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 849578400 is about 29147.5281970873. The cubic root of 849578400 is about 947.1115962699. Note that the first 3 decimals are identical.

The spelling of 849578400 in words is "eight hundred forty-nine million, five hundred seventy-eight thousand, four hundred".