509358240 has 192 divisors, whose sum is σ = 1796497920. Its totient is φ = 134784000.

The previous prime is 509358229. The next prime is 509358257. The reversal of 509358240 is 42853905.

509358240 is a `hidden beast` number, since 509 + 35 + 82 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 509358195 and 509358204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677865 + ... + 678615.

It is an arithmetic number, because the mean of its divisors is an integer number (9356760).

Almost surely, 2^509358240 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 509358240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898248960).

509358240 is an abundant number, since it is smaller than the sum of its proper divisors (1287139680).

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

509358240 is a wasteful number, since it uses less digits than its factorization.

509358240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 509358240 is about 22568.9663033113. The cubic root of 509358240 is about 798.6217100932.

The spelling of 509358240 in words is "five hundred nine million, three hundred fifty-eight thousand, two hundred forty".