4730044800 has 384 divisors, whose sum is σ = 16956414720. Its totient is φ = 1152000000.

The previous prime is 4730044789. The next prime is 4730044801. The reversal of 4730044800 is 84400374.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4730044801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18844675 + ... + 18844925.

It is an arithmetic number, because the mean of its divisors is an integer number (44157330).

Almost surely, 2^4730044800 is an apocalyptic number.

4730044800 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 4730044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8478207360).

4730044800 is an abundant number, since it is smaller than the sum of its proper divisors (12226369920).

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

4730044800 is a wasteful number, since it uses less digits than its factorization.

4730044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 4730044800 is about 68775.3211551935. The cubic root of 4730044800 is about 1678.6304030326.

The spelling of 4730044800 in words is "four billion, seven hundred thirty million, forty-four thousand, eight hundred".