830471400 has 576 divisors, whose sum is σ = 3324787200. Its totient is φ = 190080000.

The previous prime is 830471353. The next prime is 830471413. The reversal of 830471400 is 4174038.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20255380 + ... + 20255420.

It is an arithmetic number, because the mean of its divisors is an integer number (5772200).

Almost surely, 2^830471400 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 830471400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662393600).

830471400 is an abundant number, since it is smaller than the sum of its proper divisors (2494315800).

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

830471400 is a wasteful number, since it uses less digits than its factorization.

830471400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 830471400 is about 28817.9006868995. The cubic root of 830471400 is about 939.9575203378.

The spelling of 830471400 in words is "eight hundred thirty million, four hundred seventy-one thousand, four hundred".