809925480 has 640 divisors, whose sum is σ = 3483406080. Its totient is φ = 164229120.

The previous prime is 809925433. The next prime is 809925491. The reversal of 809925480 is 84529908.

809925480 is a `hidden beast` number, since 80 + 9 + 92 + 5 + 480 = 666.

It is a super-3 number, since 3×809925480³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12088407 + ... + 12088473.

It is an arithmetic number, because the mean of its divisors is an integer number (5442822).

Almost surely, 2^809925480 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 809925480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741703040).

809925480 is an abundant number, since it is smaller than the sum of its proper divisors (2673480600).

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

809925480 is a wasteful number, since it uses less digits than its factorization.

809925480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 809925480 is about 28459.1897284515. The cubic root of 809925480 is about 932.1411643704.

The spelling of 809925480 in words is "eight hundred nine million, nine hundred twenty-five thousand, four hundred eighty".