506373600 has 144 divisors (see below), whose sum is σ = 1665362160. Its totient is φ = 133632000.

The previous prime is 506373583. The next prime is 506373619. The reversal of 506373600 is 6373605.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241356 + ... + 243444.

It is an arithmetic number, because the mean of its divisors is an integer number (11565015).

Almost surely, 2^506373600 is an apocalyptic number.

506373600 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 506373600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832681080).

506373600 is an abundant number, since it is smaller than the sum of its proper divisors (1158988560).

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

506373600 is a wasteful number, since it uses less digits than its factorization.

506373600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 506373600 is about 22502.7464990387. The cubic root of 506373600 is about 797.0587831395.

The spelling of 506373600 in words is "five hundred six million, three hundred seventy-three thousand, six hundred".