506541700 has 72 divisors (see below), whose sum is σ = 1261155392. Its totient is φ = 172990080.

The previous prime is 506541697. The next prime is 506541703. The reversal of 506541700 is 7145605.

It is an interprime number because it is at equal distance from previous prime (506541697) and next prime (506541703).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (506541703) 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 23 ways as a sum of consecutive naturals, for example, 196822 + ... + 199378.

Almost surely, 2^506541700 is an apocalyptic number.

506541700 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 506541700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630577696).

506541700 is an abundant number, since it is smaller than the sum of its proper divisors (754613692).

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

506541700 is a wasteful number, since it uses less digits than its factorization.

506541700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 506541700 is about 22506.4812887310. The cubic root of 506541700 is about 797.1469728068.

The spelling of 506541700 in words is "five hundred six million, five hundred forty-one thousand, seven hundred".