4793846400 has 864 divisors, whose sum is σ = 20618769600. Its totient is φ = 1056706560.

The previous prime is 4793846353. The next prime is 4793846401. The reversal of 4793846400 is 46483974.

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

It is not an unprimeable number, because it can be changed into a prime (4793846401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 60681561 + ... + 60681639.

Almost surely, 2^4793846400 is an apocalyptic number.

4793846400 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 4793846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10309384800).

4793846400 is an abundant number, since it is smaller than the sum of its proper divisors (15824923200).

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

4793846400 is a wasteful number, since it uses less digits than its factorization.

4793846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4793846400 is about 69237.6082775828. The cubic root of 4793846400 is about 1686.1441685545.

The spelling of 4793846400 in words is "four billion, seven hundred ninety-three million, eight hundred forty-six thousand, four hundred".