5205849480 has 384 divisors, whose sum is σ = 19867075200. Its totient is φ = 1205121024.

The previous prime is 5205849469. The next prime is 5205849503. The reversal of 5205849480 is 849485025.

5205849480 is a `hidden beast` number, since 5 + 20 + 584 + 9 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4056919 + ... + 4058201.

It is an arithmetic number, because the mean of its divisors is an integer number (51737175).

Almost surely, 2^5205849480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5205849480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9933537600).

5205849480 is an abundant number, since it is smaller than the sum of its proper divisors (14661225720).

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

5205849480 is a wasteful number, since it uses less digits than its factorization.

5205849480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5205849480 is about 72151.5729558268. The cubic root of 5205849480 is about 1733.1275888272.

The spelling of 5205849480 in words is "five billion, two hundred five million, eight hundred forty-nine thousand, four hundred eighty".