813438450 has 360 divisors, whose sum is σ = 2681814960. Its totient is φ = 180792000.

The previous prime is 813438449. The next prime is 813438467. The reversal of 813438450 is 54834318.

813438450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×813438450² = 1323364223876805000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 26239935 + ... + 26239965.

It is an arithmetic number, because the mean of its divisors is an integer number (7449486).

Almost surely, 2^813438450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813438450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340907480).

813438450 is an abundant number, since it is smaller than the sum of its proper divisors (1868376510).

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

813438450 is a wasteful number, since it uses less digits than its factorization.

813438450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 813438450 is about 28520.8423788639. The cubic root of 813438450 is about 933.4869099606.

The spelling of 813438450 in words is "eight hundred thirteen million, four hundred thirty-eight thousand, four hundred fifty".