509826240 has 672 divisors, whose sum is σ = 2320381440. Its totient is φ = 100362240.

The previous prime is 509826197. The next prime is 509826241. The reversal of 509826240 is 42628905.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 509826195 and 509826204.

It is not an unprimeable number, because it can be changed into a prime (509826241) 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 95 ways as a sum of consecutive naturals, for example, 26832951 + ... + 26832969.

Almost surely, 2^509826240 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 509826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160190720).

509826240 is an abundant number, since it is smaller than the sum of its proper divisors (1810555200).

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

509826240 is a wasteful number, since it uses less digits than its factorization.

509826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 509826240 is about 22579.3321424705. The cubic root of 509826240 is about 798.8662272917.

The spelling of 509826240 in words is "five hundred nine million, eight hundred twenty-six thousand, two hundred forty".