506284800 has 216 divisors, whose sum is σ = 1910044416. Its totient is φ = 115691520.

The previous prime is 506284789. The next prime is 506284819. The reversal of 506284800 is 8482605.

It is a super-2 number, since 2×506284800² = 512648597422080000, which contains 22 as substring.

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, 132517 + ... + 136283.

Almost surely, 2^506284800 is an apocalyptic number.

506284800 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 506284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955022208).

506284800 is an abundant number, since it is smaller than the sum of its proper divisors (1403759616).

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

506284800 is a wasteful number, since it uses less digits than its factorization.

506284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 506284800 is about 22500.7733200439. The cubic root of 506284800 is about 797.0121884528.

The spelling of 506284800 in words is "five hundred six million, two hundred eighty-four thousand, eight hundred".