5246467200 has 672 divisors, whose sum is σ = 21047441940. Its totient is φ = 1283973120.

The previous prime is 5246467159. The next prime is 5246467229. The reversal of 5246467200 is 27646425.

5246467200 is a `hidden beast` number, since 5 + 2 + 4 + 646 + 7 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2116736064 + 3129731136 = 46008^2 + 55944^2 .

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 83 ways as a sum of consecutive naturals, for example, 30326314 + ... + 30326486.

Almost surely, 2^5246467200 is an apocalyptic number.

5246467200 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 5246467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10523720970).

5246467200 is an abundant number, since it is smaller than the sum of its proper divisors (15800974740).

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

5246467200 is a wasteful number, since it uses less digits than its factorization.

5246467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5246467200 is about 72432.5009923032. The cubic root of 5246467200 is about 1737.6233903020.

The spelling of 5246467200 in words is "five billion, two hundred forty-six million, four hundred sixty-seven thousand, two hundred".