507024072 has 24 divisors (see below), whose sum is σ = 1373190390. Its totient is φ = 169008000.

The previous prime is 507024017. The next prime is 507024083. The reversal of 507024072 is 270420705.

It can be written as a sum of positive squares in only one way, i.e., 495774756 + 11249316 = 22266^2 + 3354^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×507024072² = 514146819174922368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3520929 + ... + 3521072.

Almost surely, 2^507024072 is an apocalyptic number.

It is an amenable number.

507024072 is an abundant number, since it is smaller than the sum of its proper divisors (866166318).

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

507024072 is a wasteful number, since it uses less digits than its factorization.

507024072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7042013 (or 7042006 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 507024072 is about 22517.1950295768. The cubic root of 507024072 is about 797.3999295302.

Adding to 507024072 its reverse (270420705), we get a palindrome (777444777).

The spelling of 507024072 in words is "five hundred seven million, twenty-four thousand, seventy-two".