504166272 has 64 divisors (see below), whose sum is σ = 1344062160. Its totient is φ = 167444480.

The previous prime is 504166259. The next prime is 504166277. The reversal of 504166272 is 272661405.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504166277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110272 + ... + 114752.

Almost surely, 2^504166272 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 504166272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672031080).

504166272 is an abundant number, since it is smaller than the sum of its proper divisors (839895888).

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

504166272 is a wasteful number, since it uses less digits than its factorization.

504166272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4791 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 504166272 is about 22453.6471870385. The cubic root of 504166272 is about 795.8989459520.

The spelling of 504166272 in words is "five hundred four million, one hundred sixty-six thousand, two hundred seventy-two".