506275700 has 72 divisors (see below), whose sum is σ = 1265377344. Its totient is φ = 172224000.

The previous prime is 506275639. The next prime is 506275703. The reversal of 506275700 is 7572605.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506275703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88940 + ... + 94460.

Almost surely, 2^506275700 is an apocalyptic number.

506275700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506275700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632688672).

506275700 is an abundant number, since it is smaller than the sum of its proper divisors (759101644).

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

506275700 is a wasteful number, since it uses less digits than its factorization.

506275700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5673 (or 5666 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 506275700 is about 22500.5711038631. The cubic root of 506275700 is about 797.0074132391.

The spelling of 506275700 in words is "five hundred six million, two hundred seventy-five thousand, seven hundred".