506404800 has 504 divisors, whose sum is σ = 2063617920. Its totient is φ = 116582400.

The previous prime is 506404793. The next prime is 506404831. The reversal of 506404800 is 8404605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3643131 + ... + 3643269.

It is an arithmetic number, because the mean of its divisors is an integer number (4094480).

Almost surely, 2^506404800 is an apocalyptic number.

506404800 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 506404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031808960).

506404800 is an abundant number, since it is smaller than the sum of its proper divisors (1557213120).

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

506404800 is a wasteful number, since it uses less digits than its factorization.

506404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 506404800 is about 22503.4397370713. The cubic root of 506404800 is about 797.0751529524.

The spelling of 506404800 in words is "five hundred six million, four hundred four thousand, eight hundred".