812458400 has 72 divisors (see below), whose sum is σ = 2136011724. Its totient is φ = 299980800.

The previous prime is 812458399. The next prime is 812458429. The reversal of 812458400 is 4854218.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 169937296 + 642521104 = 13036^2 + 25348^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 11 ways as a sum of consecutive naturals, for example, 28661 + ... + 49460.

Almost surely, 2^812458400 is an apocalyptic number.

812458400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

812458400 is an abundant number, since it is smaller than the sum of its proper divisors (1323553324).

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

812458400 is a wasteful number, since it uses less digits than its factorization.

812458400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78154 (or 78141 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 812458400 is about 28503.6559058658. The cubic root of 812458400 is about 933.1118635516. Note that the first 3 decimals are identical.

The spelling of 812458400 in words is "eight hundred twelve million, four hundred fifty-eight thousand, four hundred".