5279461200 has 480 divisors, whose sum is σ = 20906439680. Its totient is φ = 1256601600.

The previous prime is 5279461199. The next prime is 5279461207. The reversal of 5279461200 is 21649725.

5279461200 is a `hidden beast` number, since 527 + 9 + 4 + 6 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5279461207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4351794 + ... + 4353006.

Almost surely, 2^5279461200 is an apocalyptic number.

5279461200 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 5279461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10453219840).

5279461200 is an abundant number, since it is smaller than the sum of its proper divisors (15626978480).

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

5279461200 is a wasteful number, since it uses less digits than its factorization.

5279461200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5279461200 is about 72659.9009082726. The cubic root of 5279461200 is about 1741.2583050400.

The spelling of 5279461200 in words is "five billion, two hundred seventy-nine million, four hundred sixty-one thousand, two hundred".