507472 has 40 divisors (see below), whose sum is σ = 1178496. Its totient is φ = 206976.

The previous prime is 507461. The next prime is 507491. The reversal of 507472 is 274705.

507472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2478 + ... + 2674.

2⁵⁰⁷⁴⁷² 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 507472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589248).

507472 is an abundant number, since it is smaller than the sum of its proper divisors (671024).

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

507472 is a wasteful number, since it uses less digits than its factorization.

507472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 507472 is about 712.3706900203. The cubic root of 507472 is about 79.7634680136.

It can be divided in two parts, 507 and 472, that added together give a palindrome (979).

The spelling of 507472 in words is "five hundred seven thousand, four hundred seventy-two".