814463424 has 140 divisors (see below), whose sum is σ = 2541701800. Its totient is φ = 257167872.

The previous prime is 814463417. The next prime is 814463437. The reversal of 814463424 is 424364418.

814463424 is a `hidden beast` number, since 8 + 14 + 4 + 634 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94362 + ... + 102630.

Almost surely, 2^814463424 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 814463424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270850900).

814463424 is an abundant number, since it is smaller than the sum of its proper divisors (1727238376).

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

814463424 is a wasteful number, since it uses less digits than its factorization.

814463424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8312 (or 8293 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 814463424 is about 28538.8055811732. The cubic root of 814463424 is about 933.8788257926.

The spelling of 814463424 in words is "eight hundred fourteen million, four hundred sixty-three thousand, four hundred twenty-four".