506466100 has 72 divisors (see below), whose sum is σ = 1269154880. Its totient is φ = 171832320.

The previous prime is 506466097. The next prime is 506466119. The reversal of 506466100 is 1664605.

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

It is a congruent number.

It is an unprimeable number.

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, 64171 + ... + 71629.

Almost surely, 2^506466100 is an apocalyptic number.

506466100 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 506466100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634577440).

506466100 is an abundant number, since it is smaller than the sum of its proper divisors (762688780).

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

506466100 is a wasteful number, since it uses less digits than its factorization.

506466100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 506466100 is about 22504.8017098574. The cubic root of 506466100 is about 797.1073134793.

The spelling of 506466100 in words is "five hundred six million, four hundred sixty-six thousand, one hundred".