4805049600 has 1080 divisors, whose sum is σ = 20609014272. Its totient is φ = 1094860800.

The previous prime is 4805049553. The next prime is 4805049611. The reversal of 4805049600 is 69405084.

4805049600 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 0 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 155001585 + ... + 155001615.

Almost surely, 2^4805049600 is an apocalyptic number.

4805049600 is a gapful number since it is divisible by the number (40) 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 4805049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10304507136).

4805049600 is an abundant number, since it is smaller than the sum of its proper divisors (15803964672).

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

4805049600 is a wasteful number, since it uses less digits than its factorization.

4805049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4805049600 is about 69318.4650724466. The cubic root of 4805049600 is about 1687.4566507383.

The spelling of 4805049600 in words is "four billion, eight hundred five million, forty-nine thousand, six hundred".