506164800 has 168 divisors, whose sum is σ = 1758610656. Its totient is φ = 127016960.

The previous prime is 506164777. The next prime is 506164801. The reversal of 506164800 is 8461605.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (506164801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78499 + ... + 84701.

Almost surely, 2^506164800 is an apocalyptic number.

506164800 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 506164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879305328).

506164800 is an abundant number, since it is smaller than the sum of its proper divisors (1252445856).

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

506164800 is a wasteful number, since it uses less digits than its factorization.

506164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6245 (or 6230 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 506164800 is about 22498.1065869997. The cubic root of 506164800 is about 796.9492140032.

The spelling of 506164800 in words is "five hundred six million, one hundred sixty-four thousand, eight hundred".