509088240 has 200 divisors, whose sum is σ = 1780854768. Its totient is φ = 134784000.

The previous prime is 509088227. The next prime is 509088241. The reversal of 509088240 is 42880905.

It is a super-2 number, since 2×509088240² = 518341672212595200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 509088195 and 509088204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509088241) 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 39 ways as a sum of consecutive naturals, for example, 1626324 + ... + 1626636.

Almost surely, 2^509088240 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 509088240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890427384).

509088240 is an abundant number, since it is smaller than the sum of its proper divisors (1271766528).

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

509088240 is a wasteful number, since it uses less digits than its factorization.

509088240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 509088240 is about 22562.9838452276. The cubic root of 509088240 is about 798.4805743424.

The spelling of 509088240 in words is "five hundred nine million, eighty-eight thousand, two hundred forty".