832230400 has 264 divisors, whose sum is σ = 2284452000. Its totient is φ = 299335680.

The previous prime is 832230389. The next prime is 832230437. The reversal of 832230400 is 4032238.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14105571 + ... + 14105629.

Almost surely, 2^832230400 is an apocalyptic number.

832230400 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 832230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142226000).

832230400 is an abundant number, since it is smaller than the sum of its proper divisors (1452221600).

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

832230400 is a wasteful number, since it uses less digits than its factorization.

832230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 832230400 is about 28848.4037686663. The cubic root of 832230400 is about 940.6206855871.

Adding to 832230400 its reverse (4032238), we get a palindrome (836262638).

The spelling of 832230400 in words is "eight hundred thirty-two million, two hundred thirty thousand, four hundred".