809402500 has 45 divisors (see below), whose sum is σ = 1773117577. Its totient is φ = 323192000.

The previous prime is 809402483. The next prime is 809402501. The reversal of 809402500 is 5204908.

It is a happy number.

The square root of 809402500 is 28450.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 794901636 + 14500864 = 28194^2 + 3808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (809402501) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1422216 + ... + 1422784.

Almost surely, 2^809402500 is an apocalyptic number.

809402500 is the 28450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809402500

809402500 is an abundant number, since it is smaller than the sum of its proper divisors (963715077).

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

809402500 is an frugal number, since it uses more digits than its factorization.

809402500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The cubic root of 809402500 is about 931.9404890563.

The spelling of 809402500 in words is "eight hundred nine million, four hundred two thousand, five hundred".