813450000 has 480 divisors, whose sum is σ = 3138549120. Its totient is φ = 179200000.

The previous prime is 813449999. The next prime is 813450047. The reversal of 813450000 is 54318.

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 95 ways as a sum of consecutive naturals, for example, 28049986 + ... + 28050014.

It is an arithmetic number, because the mean of its divisors is an integer number (6538644).

Almost surely, 2^813450000 is an apocalyptic number.

813450000 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 813450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569274560).

813450000 is an abundant number, since it is smaller than the sum of its proper divisors (2325099120).

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

813450000 is a wasteful number, since it uses less digits than its factorization.

813450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 813450000 is about 28521.0448616456. The cubic root of 813450000 is about 933.4913281284.

The spelling of 813450000 in words is "eight hundred thirteen million, four hundred fifty thousand".