4726800 has 180 divisors, whose sum is σ = 17840004. Its totient is φ = 1152000.

The previous prime is 4726793. The next prime is 4726817. The reversal of 4726800 is 86274.

It can be written as a sum of positive squares in 6 ways, for example, as 9216 + 4717584 = 96^2 + 2172^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46750 + ... + 46850.

Almost surely, 2^4726800 is an apocalyptic number.

4726800 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 4726800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8920002).

4726800 is an abundant number, since it is smaller than the sum of its proper divisors (13113204).

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

4726800 is a wasteful number, since it uses less digits than its factorization.

4726800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4726800 is about 2174.1205118392. The cubic root of 4726800 is about 167.8246469678.

The spelling of 4726800 in words is "four million, seven hundred twenty-six thousand, eight hundred".