509073040 has 80 divisors (see below), whose sum is σ = 1356913152. Its totient is φ = 173993472.

The previous prime is 509073031. The next prime is 509073043. The reversal of 509073040 is 40370905.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (509073043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204282 + ... + 206758.

Almost surely, 2^509073040 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 509073040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678456576).

509073040 is an abundant number, since it is smaller than the sum of its proper divisors (847840112).

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

509073040 is a wasteful number, since it uses less digits than its factorization.

509073040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 509073040 is about 22562.6470078313. The cubic root of 509073040 is about 798.4726274388.

The spelling of 509073040 in words is "five hundred nine million, seventy-three thousand, forty".