810427024 has 45 divisors (see below), whose sum is σ = 1728596611. Its totient is φ = 367806560.

The previous prime is 810427019. The next prime is 810427027. The reversal of 810427024 is 420724018.

The square root of 810427024 is 28468.

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

It is a super-2 number, since 2×810427024² = 1313583922458993152, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 810426983 and 810427001.

It is not an unprimeable number, because it can be changed into a prime (810427027) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1252269 + ... + 1252915.

Almost surely, 2^810427024 is an apocalyptic number.

810427024 is the 28468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810427024

810427024 is an abundant number, since it is smaller than the sum of its proper divisors (918169587).

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

810427024 is an equidigital number, since it uses as much as digits as its factorization.

810427024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The cubic root of 810427024 is about 932.3335332370. Note that the first 3 decimals are identical.

The spelling of 810427024 in words is "eight hundred ten million, four hundred twenty-seven thousand, twenty-four".