509963040 has 360 divisors, whose sum is σ = 1916879580. Its totient is φ = 127650816.

The previous prime is 509963017. The next prime is 509963053. The reversal of 509963040 is 40369905.

It can be written as a sum of positive squares in 2 ways, for example, as 509495184 + 467856 = 22572^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 = 509962986 and 509963004.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4678506 + ... + 4678614.

Almost surely, 2^509963040 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 509963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958439790).

509963040 is an abundant number, since it is smaller than the sum of its proper divisors (1406916540).

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

509963040 is a wasteful number, since it uses less digits than its factorization.

509963040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 509963040 is about 22582.3612582918. The cubic root of 509963040 is about 798.9376732852.

The spelling of 509963040 in words is "five hundred nine million, nine hundred sixty-three thousand, forty".