4713854400 has 336 divisors, whose sum is σ = 18091302400. Its totient is φ = 1190661120.

The previous prime is 4713854399. The next prime is 4713854407. The reversal of 4713854400 is 44583174.

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 (4713854407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 817929 + ... + 823671.

Almost surely, 2^4713854400 is an apocalyptic number.

4713854400 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 4713854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9045651200).

4713854400 is an abundant number, since it is smaller than the sum of its proper divisors (13377448000).

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

4713854400 is a wasteful number, since it uses less digits than its factorization.

4713854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5793 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4713854400 is about 68657.5152477862. The cubic root of 4713854400 is about 1676.7129606234.

The spelling of 4713854400 in words is "four billion, seven hundred thirteen million, eight hundred fifty-four thousand, four hundred".