509493420 has 72 divisors (see below), whose sum is σ = 1547931840. Its totient is φ = 135648000.

The previous prime is 509493419. The next prime is 509493427. The reversal of 509493420 is 24394905.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (509493427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133296 + ... + 137064.

Almost surely, 2^509493420 is an apocalyptic number.

It is an amenable number.

509493420 is an abundant number, since it is smaller than the sum of its proper divisors (1038438420).

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

509493420 is a wasteful number, since it uses less digits than its factorization.

509493420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 509493420 is about 22571.9609250061. The cubic root of 509493420 is about 798.6923533231.

The spelling of 509493420 in words is "five hundred nine million, four hundred ninety-three thousand, four hundred twenty".