507485706 has 192 divisors, whose sum is σ = 1366087680. Its totient is φ = 122653440.

The previous prime is 507485681. The next prime is 507485729. The reversal of 507485706 is 607584705.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7147651 + ... + 7147721.

It is an arithmetic number, because the mean of its divisors is an integer number (7115040).

Almost surely, 2^507485706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507485706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683043840).

507485706 is an abundant number, since it is smaller than the sum of its proper divisors (858601974).

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

507485706 is a wasteful number, since it uses less digits than its factorization.

507485706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 507485706 is about 22527.4433968882. The cubic root of 507485706 is about 797.6418610138.

The spelling of 507485706 in words is "five hundred seven million, four hundred eighty-five thousand, seven hundred six".