820174400 has 42 divisors (see below), whose sum is σ = 2018145570. Its totient is φ = 328069120.

The previous prime is 820174391. The next prime is 820174423. The reversal of 820174400 is 4471028.

It can be written as a sum of positive squares in 3 ways, for example, as 124902976 + 695271424 = 11176^2 + 26368^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 820174400.

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 5 ways as a sum of consecutive naturals, for example, 254705 + ... + 257904.

It is an arithmetic number, because the mean of its divisors is an integer number (48051085).

Almost surely, 2^820174400 is an apocalyptic number.

820174400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820174400 is an abundant number, since it is smaller than the sum of its proper divisors (1197971170).

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

820174400 is a wasteful number, since it uses less digits than its factorization.

820174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512631 (or 512616 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 820174400 is about 28638.6871207463. The cubic root of 820174400 is about 936.0565139861.

The spelling of 820174400 in words is "eight hundred twenty million, one hundred seventy-four thousand, four hundred".