499824864 has 288 divisors, whose sum is σ = 1833995520. Its totient is φ = 129634560.

The previous prime is 499824833. The next prime is 499824869. The reversal of 499824864 is 468428994.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 499824864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499824869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 731467 + ... + 732149.

It is an arithmetic number, because the mean of its divisors is an integer number (6368040).

Almost surely, 2^499824864 is an apocalyptic number.

499824864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499824864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916997760).

499824864 is an abundant number, since it is smaller than the sum of its proper divisors (1334170656).

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

499824864 is a wasteful number, since it uses less digits than its factorization.

499824864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 706 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 499824864 is about 22356.7632719945. The cubic root of 499824864 is about 793.6078448052.

The spelling of 499824864 in words is "four hundred ninety-nine million, eight hundred twenty-four thousand, eight hundred sixty-four".