823148400 has 240 divisors, whose sum is σ = 2816883200. Its totient is φ = 204871680.

The previous prime is 823148393. The next prime is 823148401. The reversal of 823148400 is 4841328.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823148401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1800972 + ... + 1801428.

Almost surely, 2^823148400 is an apocalyptic number.

823148400 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 823148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408441600).

823148400 is an abundant number, since it is smaller than the sum of its proper divisors (1993734800).

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

823148400 is a wasteful number, since it uses less digits than its factorization.

823148400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 823148400 is about 28690.5629083850. The cubic root of 823148400 is about 937.1865476536.

Adding to 823148400 its reverse (4841328), we get a palindrome (827989728).

The spelling of 823148400 in words is "eight hundred twenty-three million, one hundred forty-eight thousand, four hundred".