813949290 has 512 divisors, whose sum is σ = 2985984000. Its totient is φ = 155796480.

The previous prime is 813949267. The next prime is 813949349. The reversal of 813949290 is 92949318.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 17318047 + ... + 17318093.

It is an arithmetic number, because the mean of its divisors is an integer number (5832000).

Almost surely, 2^813949290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813949290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492992000).

813949290 is an abundant number, since it is smaller than the sum of its proper divisors (2172034710).

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

813949290 is a wasteful number, since it uses less digits than its factorization.

813949290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 813949290 is about 28529.7965292429. The cubic root of 813949290 is about 933.6822792453.

The spelling of 813949290 in words is "eight hundred thirteen million, nine hundred forty-nine thousand, two hundred ninety".