509869440 has 384 divisors, whose sum is σ = 1924715520. Its totient is φ = 123863040.

The previous prime is 509869433. The next prime is 509869441. The reversal of 509869440 is 44968905.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509869441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4014657 + ... + 4014783.

It is an arithmetic number, because the mean of its divisors is an integer number (5012280).

Almost surely, 2^509869440 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 509869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962357760).

509869440 is an abundant number, since it is smaller than the sum of its proper divisors (1414846080).

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

509869440 is a wasteful number, since it uses less digits than its factorization.

509869440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 509869440 is about 22580.2887492609. The cubic root of 509869440 is about 798.8887905650. Note that the first 3 decimals are identical.

The spelling of 509869440 in words is "five hundred nine million, eight hundred sixty-nine thousand, four hundred forty".