830444400 has 450 divisors, whose sum is σ = 3189820392. Its totient is φ = 206841600.

The previous prime is 830444393. The next prime is 830444429. The reversal of 830444400 is 4444038.

It is a tau number, because it is divible by the number of its divisors (450).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 11696365 + ... + 11696435.

Almost surely, 2^830444400 is an apocalyptic number.

830444400 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 830444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594910196).

830444400 is an abundant number, since it is smaller than the sum of its proper divisors (2359375992).

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

830444400 is a wasteful number, since it uses less digits than its factorization.

830444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 830444400 is about 28817.4322242631. The cubic root of 830444400 is about 939.9473337024.

Adding to 830444400 its reverse (4444038), we get a palindrome (834888438).

The spelling of 830444400 in words is "eight hundred thirty million, four hundred forty-four thousand, four hundred".