506734300 has 72 divisors (see below), whose sum is σ = 1171706256. Its totient is φ = 189557760.

The previous prime is 506734289. The next prime is 506734309. The reversal of 506734300 is 3437605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506734309) 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, 293239 + ... + 294961.

It is an arithmetic number, because the mean of its divisors is an integer number (16273698).

Almost surely, 2^506734300 is an apocalyptic number.

506734300 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 506734300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585853128).

506734300 is an abundant number, since it is smaller than the sum of its proper divisors (664971956).

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

506734300 is a wasteful number, since it uses less digits than its factorization.

506734300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 506734300 is about 22510.7596495543. The cubic root of 506734300 is about 797.2479918360.

The spelling of 506734300 in words is "five hundred six million, seven hundred thirty-four thousand, three hundred".