814730400 has 504 divisors, whose sum is σ = 3278790144. Its totient is φ = 195955200.

The previous prime is 814730387. The next prime is 814730429. The reversal of 814730400 is 4037418.

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

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 6415137 + ... + 6415263.

It is an arithmetic number, because the mean of its divisors is an integer number (6505536).

Almost surely, 2^814730400 is an apocalyptic number.

814730400 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 814730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639395072).

814730400 is an abundant number, since it is smaller than the sum of its proper divisors (2464059744).

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

814730400 is a wasteful number, since it uses less digits than its factorization.

814730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 148 counting only the distinct ones).

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

The square root of 814730400 is about 28543.4826186294. The cubic root of 814730400 is about 933.9808545185.

Adding to 814730400 its reverse (4037418), we get a palindrome (818767818).

The spelling of 814730400 in words is "eight hundred fourteen million, seven hundred thirty thousand, four hundred".