4847234400 has 720 divisors, whose sum is σ = 19358760960. Its totient is φ = 1175731200.

The previous prime is 4847234347. The next prime is 4847234407. The reversal of 4847234400 is 44327484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4847234407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38167137 + ... + 38167263.

It is an arithmetic number, because the mean of its divisors is an integer number (26887168).

Almost surely, 2^4847234400 is an apocalyptic number.

4847234400 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 4847234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9679380480).

4847234400 is an abundant number, since it is smaller than the sum of its proper divisors (14511526560).

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

4847234400 is a wasteful number, since it uses less digits than its factorization.

4847234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 4847234400 is about 69622.0827036939. The cubic root of 4847234400 is about 1692.3804787935.

The spelling of 4847234400 in words is "four billion, eight hundred forty-seven million, two hundred thirty-four thousand, four hundred".