814243424 has 96 divisors (see below), whose sum is σ = 1802787840. Its totient is φ = 359974912.

The previous prime is 814243379. The next prime is 814243457. The reversal of 814243424 is 424342418.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 737657 + ... + 738759.

It is an arithmetic number, because the mean of its divisors is an integer number (18779040).

Almost surely, 2^814243424 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 814243424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901393920).

814243424 is an abundant number, since it is smaller than the sum of its proper divisors (988544416).

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

814243424 is a wasteful number, since it uses less digits than its factorization.

814243424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1204 counting only the distinct ones).

The product of its digits is 24576, while the sum is 32.

The square root of 814243424 is about 28534.9509198807. The cubic root of 814243424 is about 933.7947328642.

It can be divided in two parts, 81424 and 3424, that added together give a palindrome (84848).

The spelling of 814243424 in words is "eight hundred fourteen million, two hundred forty-three thousand, four hundred twenty-four".