4746124800 has 480 divisors, whose sum is σ = 18023132160. Its totient is φ = 1222041600.

The previous prime is 4746124777. The next prime is 4746124843. The reversal of 4746124800 is 84216474.

It is a tau number, because it is divible by the number of its divisors (480).

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, 10713379 + ... + 10713821.

It is an arithmetic number, because the mean of its divisors is an integer number (37548192).

Almost surely, 2^4746124800 is an apocalyptic number.

4746124800 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 4746124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9011566080).

4746124800 is an abundant number, since it is smaller than the sum of its proper divisors (13277007360).

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

4746124800 is a wasteful number, since it uses less digits than its factorization.

4746124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4746124800 is about 68892.1243684646. The cubic root of 4746124800 is about 1680.5304447442.

The spelling of 4746124800 in words is "four billion, seven hundred forty-six million, one hundred twenty-four thousand, eight hundred".