5274417600 has 336 divisors, whose sum is σ = 19472087040. Its totient is φ = 1388620800.

The previous prime is 5274417587. The next prime is 5274417623. The reversal of 5274417600 is 67144725.

5274417600 is a `hidden beast` number, since 5 + 2 + 7 + 4 + 41 + 7 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3584865 + ... + 3586335.

It is an arithmetic number, because the mean of its divisors is an integer number (57952640).

Almost surely, 2^5274417600 is an apocalyptic number.

5274417600 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 5274417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9736043520).

5274417600 is an abundant number, since it is smaller than the sum of its proper divisors (14197669440).

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

5274417600 is a wasteful number, since it uses less digits than its factorization.

5274417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 5274417600 is about 72625.1857140483. The cubic root of 5274417600 is about 1740.7036393168.

The spelling of 5274417600 in words is "five billion, two hundred seventy-four million, four hundred seventeen thousand, six hundred".