824732468 has 48 divisors (see below), whose sum is σ = 1753584000. Its totient is φ = 331516800.

The previous prime is 824732437. The next prime is 824732533. The reversal of 824732468 is 864237428.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 46058 + ... + 61406.

It is an arithmetic number, because the mean of its divisors is an integer number (36533000).

Almost surely, 2^824732468 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 824732468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876792000).

824732468 is an abundant number, since it is smaller than the sum of its proper divisors (928851532).

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

824732468 is a wasteful number, since it uses less digits than its factorization.

824732468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15480 (or 15478 counting only the distinct ones).

The product of its digits is 516096, while the sum is 44.

The square root of 824732468 is about 28718.1557207283. The cubic root of 824732468 is about 937.7873368251.

The spelling of 824732468 in words is "eight hundred twenty-four million, seven hundred thirty-two thousand, four hundred sixty-eight".