509454 has 48 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 147600.

The previous prime is 509449. The next prime is 509477. The reversal of 509454 is 454905.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509454.

It is an unprimeable number.

509454 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6097 + ... + 6179.

It is an arithmetic number, because the mean of its divisors is an integer number (26208).

2⁵⁰⁹⁴⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992).

509454 is an abundant number, since it is smaller than the sum of its proper divisors (748530).

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

509454 is a wasteful number, since it uses less digits than its factorization.

509454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 509454 is about 713.7604640214. The cubic root of 509454 is about 79.8671754258.

The spelling of 509454 in words is "five hundred nine thousand, four hundred fifty-four".