506265600 has 204 divisors, whose sum is σ = 1690291616. Its totient is φ = 133693440.

The previous prime is 506265589. The next prime is 506265611. The reversal of 506265600 is 6562605.

It is an interprime number because it is at equal distance from previous prime (506265589) and next prime (506265611).

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 11 ways as a sum of consecutive naturals, for example, 4915149 + ... + 4915251.

Almost surely, 2^506265600 is an apocalyptic number.

506265600 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 506265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845145808).

506265600 is an abundant number, since it is smaller than the sum of its proper divisors (1184026016).

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

506265600 is an equidigital number, since it uses as much as digits as its factorization.

506265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 506265600 is about 22500.3466639961. The cubic root of 506265600 is about 797.0021132096.

The spelling of 506265600 in words is "five hundred six million, two hundred sixty-five thousand, six hundred".