816424200 has 72 divisors (see below), whose sum is σ = 2741830650. Its totient is φ = 217712640.

The previous prime is 816424181. The next prime is 816424249. The reversal of 816424200 is 2424618.

It can be written as a sum of positive squares in 3 ways, for example, as 598389444 + 218034756 = 24462^2 + 14766^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 224985 + ... + 228584.

Almost surely, 2^816424200 is an apocalyptic number.

It is an amenable number.

816424200 is an abundant number, since it is smaller than the sum of its proper divisors (1925406450).

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

816424200 is a wasteful number, since it uses less digits than its factorization.

816424200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453591 (or 453579 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 816424200 is about 28573.1377345926. The cubic root of 816424200 is about 934.6276458750.

Adding to 816424200 its reverse (2424618), we get a palindrome (818848818).

The spelling of 816424200 in words is "eight hundred sixteen million, four hundred twenty-four thousand, two hundred".