499509920 has 288 divisors, whose sum is σ = 1538384400. Its totient is φ = 152635392.

The previous prime is 499509893. The next prime is 499509931. The reversal of 499509920 is 29905994.

It can be written as a sum of positive squares in 8 ways, for example, as 31047184 + 468462736 = 5572^2 + 21644^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17224466 + ... + 17224494.

Almost surely, 2^499509920 is an apocalyptic number.

499509920 is a gapful number since it is divisible by the number (40) 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 499509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769192200).

499509920 is an abundant number, since it is smaller than the sum of its proper divisors (1038874480).

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

499509920 is a wasteful number, since it uses less digits than its factorization.

499509920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 47.

The square root of 499509920 is about 22349.7185664607. The cubic root of 499509920 is about 793.4411233778.

The spelling of 499509920 in words is "four hundred ninety-nine million, five hundred nine thousand, nine hundred twenty".