509442048 has 240 divisors, whose sum is σ = 1581620040. Its totient is φ = 163233792.

The previous prime is 509442047. The next prime is 509442053. The reversal of 509442048 is 840244905.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509442047) 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 19 ways as a sum of consecutive naturals, for example, 6137815 + ... + 6137897.

Almost surely, 2^509442048 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 509442048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790810020).

509442048 is an abundant number, since it is smaller than the sum of its proper divisors (1072177992).

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

509442048 is an equidigital number, since it uses as much as digits as its factorization.

509442048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 509442048 is about 22570.8229358169. The cubic root of 509442048 is about 798.6655084866.

The spelling of 509442048 in words is "five hundred nine million, four hundred forty-two thousand, forty-eight".