509747040 has 384 divisors, whose sum is σ = 2064061440. Its totient is φ = 116121600.

The previous prime is 509747033. The next prime is 509747089. The reversal of 509747040 is 40747905.

It is a happy number.

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 = 509746986 and 509747004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 807525 + ... + 808155.

It is an arithmetic number, because the mean of its divisors is an integer number (5375160).

Almost surely, 2^509747040 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 509747040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032030720).

509747040 is an abundant number, since it is smaller than the sum of its proper divisors (1554314400).

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

509747040 is a wasteful number, since it uses less digits than its factorization.

509747040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 509747040 is about 22577.5782580861. The cubic root of 509747040 is about 798.8248579801.

The spelling of 509747040 in words is "five hundred nine million, seven hundred forty-seven thousand, forty".