506868300 has 144 divisors (see below), whose sum is σ = 1638645120. Its totient is φ = 134406720.

The previous prime is 506868283. The next prime is 506868367. The reversal of 506868300 is 3868605.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 612487 + ... + 613313.

It is an arithmetic number, because the mean of its divisors is an integer number (11379480).

Almost surely, 2^506868300 is an apocalyptic number.

506868300 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 506868300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819322560).

506868300 is an abundant number, since it is smaller than the sum of its proper divisors (1131776820).

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

506868300 is a wasteful number, since it uses less digits than its factorization.

506868300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 506868300 is about 22513.7358072800. The cubic root of 506868300 is about 797.3182599663.

The spelling of 506868300 in words is "five hundred six million, eight hundred sixty-eight thousand, three hundred".