499993632 has 72 divisors (see below), whose sum is σ = 1436018220. Its totient is φ = 165004800.

The previous prime is 499993631. The next prime is 499993709. The reversal of 499993632 is 236399994.

499993632 is a `hidden beast` number, since 499 + 9 + 93 + 63 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 360848016 + 139145616 = 18996^2 + 11796^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×499993632³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (499993631) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20494 + ... + 37682.

Almost surely, 2^499993632 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 499993632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718009110).

499993632 is an abundant number, since it is smaller than the sum of its proper divisors (936024588).

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

499993632 is a wasteful number, since it uses less digits than its factorization.

499993632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17306 (or 17295 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 54.

The square root of 499993632 is about 22360.5373817357. The cubic root of 499993632 is about 793.6971564465.

The spelling of 499993632 in words is "four hundred ninety-nine million, nine hundred ninety-three thousand, six hundred thirty-two".