506271200 has 36 divisors (see below), whose sum is σ = 1235936520. Its totient is φ = 202508160.

The previous prime is 506271191. The next prime is 506271209. The reversal of 506271200 is 2172605.

It is an interprime number because it is at equal distance from previous prime (506271191) and next prime (506271209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506271209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 315620 + ... + 317219.

It is an arithmetic number, because the mean of its divisors is an integer number (34331570).

Almost surely, 2^506271200 is an apocalyptic number.

506271200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506271200 is an abundant number, since it is smaller than the sum of its proper divisors (729665320).

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

506271200 is a wasteful number, since it uses less digits than its factorization.

506271200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632859 (or 632846 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 506271200 is about 22500.4711061791. The cubic root of 506271200 is about 797.0050518485.

The spelling of 506271200 in words is "five hundred six million, two hundred seventy-one thousand, two hundred".