504954 has 24 divisors (see below), whose sum is σ = 1135680. Its totient is φ = 168156.

The previous prime is 504953. The next prime is 504967. The reversal of 504954 is 459405.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (504953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34 + ... + 1005.

It is an arithmetic number, because the mean of its divisors is an integer number (47320).

2⁵⁰⁴⁹⁵⁴ is an apocalyptic number.

504954 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 504954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567840).

504954 is an abundant number, since it is smaller than the sum of its proper divisors (630726).

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

504954 is a wasteful number, since it uses less digits than its factorization.

504954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1044 counting only the distinct ones).

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

The square root of 504954 is about 710.6011539535. The cubic root of 504954 is about 79.6313244223.

The spelling of 504954 in words is "five hundred four thousand, nine hundred fifty-four".