810386432 has 88 divisors (see below), whose sum is σ = 1692312216. Its totient is φ = 387514368.

The previous prime is 810386399. The next prime is 810386449. The reversal of 810386432 is 234683018.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 520569856 + 289816576 = 22816^2 + 17024^2 .

It is a junction number, because it is equal to n+sod(n) for n = 810386392 and 810386401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2765678 + ... + 2765970.

Almost surely, 2^810386432 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 810386432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846156108).

810386432 is an abundant number, since it is smaller than the sum of its proper divisors (881925784).

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

810386432 is a wasteful number, since it uses less digits than its factorization.

810386432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 810386432 is about 28467.2870502266. The cubic root of 810386432 is about 932.3179669929.

The spelling of 810386432 in words is "eight hundred ten million, three hundred eighty-six thousand, four hundred thirty-two".