509141640 has 64 divisors (see below), whose sum is σ = 1745631360. Its totient is φ = 116375040.

The previous prime is 509141627. The next prime is 509141641. The reversal of 509141640 is 46141905.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 509141598 and 509141607.

It is not an unprimeable number, because it can be changed into a prime (509141641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302221 + ... + 303900.

It is an arithmetic number, because the mean of its divisors is an integer number (27275490).

Almost surely, 2^509141640 is an apocalyptic number.

It is an amenable number.

509141640 is an abundant number, since it is smaller than the sum of its proper divisors (1236489720).

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

509141640 is a wasteful number, since it uses less digits than its factorization.

509141640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606142 (or 606138 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 509141640 is about 22564.1671683224. The cubic root of 509141640 is about 798.5084918156.

The spelling of 509141640 in words is "five hundred nine million, one hundred forty-one thousand, six hundred forty".