509749632 has 256 divisors, whose sum is σ = 1811520000. Its totient is φ = 137852928.

The previous prime is 509749627. The next prime is 509749663. The reversal of 509749632 is 236947905.

It is a happy number.

509749632 is a `hidden beast` number, since 5 + 0 + 9 + 7 + 4 + 9 + 632 = 666.

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 31 ways as a sum of consecutive naturals, for example, 459094 + ... + 460202.

It is an arithmetic number, because the mean of its divisors is an integer number (7076250).

Almost surely, 2^509749632 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 509749632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905760000).

509749632 is an abundant number, since it is smaller than the sum of its proper divisors (1301770368).

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

509749632 is a wasteful number, since it uses less digits than its factorization.

509749632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 509749632 is about 22577.6356600951. The cubic root of 509749632 is about 798.8262119527.

It can be divided in two parts, 50974 and 9632, that added together give a palindrome (60606).

The spelling of 509749632 in words is "five hundred nine million, seven hundred forty-nine thousand, six hundred thirty-two".