812430144 has 168 divisors, whose sum is σ = 2426890752. Its totient is φ = 259568640.

The previous prime is 812430137. The next prime is 812430161. The reversal of 812430144 is 441034218.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3088957 + ... + 3089219.

Almost surely, 2^812430144 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 812430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213445376).

812430144 is an abundant number, since it is smaller than the sum of its proper divisors (1614460608).

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

812430144 is a wasteful number, since it uses less digits than its factorization.

812430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 812430144 is about 28503.1602458394. The cubic root of 812430144 is about 933.1010460482.

The spelling of 812430144 in words is "eight hundred twelve million, four hundred thirty thousand, one hundred forty-four".