509217420 has 96 divisors (see below), whose sum is σ = 1456697088. Its totient is φ = 132878592.

The previous prime is 509217419. The next prime is 509217431. The reversal of 509217420 is 24712905.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 791619 + ... + 792261.

It is an arithmetic number, because the mean of its divisors is an integer number (15173928).

Almost surely, 2^509217420 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 509217420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728348544).

509217420 is an abundant number, since it is smaller than the sum of its proper divisors (947479668).

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

509217420 is a wasteful number, since it uses less digits than its factorization.

509217420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 509217420 is about 22565.8463169454. The cubic root of 509217420 is about 798.5481061828.

The spelling of 509217420 in words is "five hundred nine million, two hundred seventeen thousand, four hundred twenty".