849413400 has 384 divisors, whose sum is σ = 3052304640. Its totient is φ = 193536000.

The previous prime is 849413387. The next prime is 849413459. The reversal of 849413400 is 4314948.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11635764 + ... + 11635836.

It is an arithmetic number, because the mean of its divisors is an integer number (7948710).

Almost surely, 2^849413400 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 849413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526152320).

849413400 is an abundant number, since it is smaller than the sum of its proper divisors (2202891240).

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

849413400 is a wasteful number, since it uses less digits than its factorization.

849413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 849413400 is about 29144.6976309585. The cubic root of 849413400 is about 947.0502781968.

The spelling of 849413400 in words is "eight hundred forty-nine million, four hundred thirteen thousand, four hundred".