507024468 has 96 divisors (see below), whose sum is σ = 1393925120. Its totient is φ = 159096960.

The previous prime is 507024467. The next prime is 507024523. The reversal of 507024468 is 864420705.

It is a super-2 number, since 2×507024468² = 514147622301366048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507024461) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 121830 + ... + 125922.

Almost surely, 2^507024468 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 507024468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696962560).

507024468 is an abundant number, since it is smaller than the sum of its proper divisors (886900652).

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

507024468 is a wasteful number, since it uses less digits than its factorization.

507024468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174 (or 4166 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 507024468 is about 22517.2038228551. The cubic root of 507024468 is about 797.4001371274.

The spelling of 507024468 in words is "five hundred seven million, twenty-four thousand, four hundred sixty-eight".