506097900 has 432 divisors, whose sum is σ = 2025703680. Its totient is φ = 102643200.

The previous prime is 506097881. The next prime is 506097919. The reversal of 506097900 is 9790605.

It is an interprime number because it is at equal distance from previous prime (506097881) and next prime (506097919).

It is a super-2 number, since 2×506097900² = 512270168768820000, which contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 4643046 + ... + 4643154.

Almost surely, 2^506097900 is an apocalyptic number.

506097900 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 506097900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012851840).

506097900 is an abundant number, since it is smaller than the sum of its proper divisors (1519605780).

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

506097900 is a wasteful number, since it uses less digits than its factorization.

506097900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 506097900 is about 22496.6197460863. The cubic root of 506097900 is about 796.9141014262.

The spelling of 506097900 in words is "five hundred six million, ninety-seven thousand, nine hundred".