4713409800 has 864 divisors, whose sum is σ = 19681552800. Its totient is φ = 1003622400.

The previous prime is 4713409777. The next prime is 4713409823. The reversal of 4713409800 is 89043174.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4713409777) and next prime (4713409823).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 70349367 + ... + 70349433.

It is an arithmetic number, because the mean of its divisors is an integer number (22779575).

Almost surely, 2^4713409800 is an apocalyptic number.

4713409800 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 4713409800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9840776400).

4713409800 is an abundant number, since it is smaller than the sum of its proper divisors (14968143000).

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

4713409800 is a wasteful number, since it uses less digits than its factorization.

4713409800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4713409800 is about 68654.2773612832. The cubic root of 4713409800 is about 1676.6602443848.

The spelling of 4713409800 in words is "four billion, seven hundred thirteen million, four hundred nine thousand, eight hundred".