810980460 has 288 divisors, whose sum is σ = 2717245440. Its totient is φ = 195148800.

The previous prime is 810980459. The next prime is 810980519. The reversal of 810980460 is 64089018.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 9112096 + ... + 9112184.

It is an arithmetic number, because the mean of its divisors is an integer number (9434880).

Almost surely, 2^810980460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810980460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358622720).

810980460 is an abundant number, since it is smaller than the sum of its proper divisors (1906264980).

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

810980460 is a wasteful number, since it uses less digits than its factorization.

810980460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 810980460 is about 28477.7186586285. The cubic root of 810980460 is about 932.5457133658.

The spelling of 810980460 in words is "eight hundred ten million, nine hundred eighty thousand, four hundred sixty".