506884500 has 96 divisors (see below), whose sum is σ = 1640096640. Its totient is φ = 135165600.

The previous prime is 506884493. The next prime is 506884507. The reversal of 506884500 is 5488605.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (506884493) and next prime (506884507).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506884507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5274 + ... + 32273.

It is an arithmetic number, because the mean of its divisors is an integer number (17084340).

Almost surely, 2^506884500 is an apocalyptic number.

506884500 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 506884500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820048320).

506884500 is an abundant number, since it is smaller than the sum of its proper divisors (1133212140).

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

506884500 is a wasteful number, since it uses less digits than its factorization.

506884500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37575 (or 37557 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 506884500 is about 22514.0955847664. The cubic root of 506884500 is about 797.3267542295.

The spelling of 506884500 in words is "five hundred six million, eight hundred eighty-four thousand, five hundred".