5281459200 has 462 divisors, whose sum is σ = 19697814284. Its totient is φ = 1403412480.

The previous prime is 5281459187. The next prime is 5281459213. The reversal of 5281459200 is 29541825.

5281459200 is a `hidden beast` number, since 52 + 8 + 14 + 592 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5281459187) and next prime (5281459213).

It is a super-2 number, since 2×5281459200² = 55787622562529280000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 18662259 + ... + 18662541.

Almost surely, 2^5281459200 is an apocalyptic number.

5281459200 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 5281459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9848907142).

5281459200 is an abundant number, since it is smaller than the sum of its proper divisors (14416355084).

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

5281459200 is an equidigital number, since it uses as much as digits as its factorization.

5281459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5281459200 is about 72673.6485942463. The cubic root of 5281459200 is about 1741.4779357419.

The spelling of 5281459200 in words is "five billion, two hundred eighty-one million, four hundred fifty-nine thousand, two hundred".