4726000 has 80 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 1766400.

The previous prime is 4725997. The next prime is 4726009. The reversal of 4726000 is 6274.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4726009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33931 + ... + 34069.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 2^4726000 is an apocalyptic number.

4726000 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 4726000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

4726000 is an abundant number, since it is smaller than the sum of its proper divisors (7460720).

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

4726000 is a wasteful number, since it uses less digits than its factorization.

4726000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 4726000 is about 2173.9365216123. The cubic root of 4726000 is about 167.8151784554.

The spelling of 4726000 in words is "four million, seven hundred twenty-six thousand".