4723920 has 110 divisors (see below), whose sum is σ = 16474578. Its totient is φ = 1259712.

The previous prime is 4723879. The next prime is 4723921. The reversal of 4723920 is 293274.

It can be written as a sum of positive squares in only one way, i.e., 3779136 + 944784 = 1944^2 + 972^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4723921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 944782 + ... + 944786.

Almost surely, 2^4723920 is an apocalyptic number.

4723920 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 4723920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8237289).

4723920 is an abundant number, since it is smaller than the sum of its proper divisors (11750658).

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

4723920 is an frugal number, since it uses more digits than its factorization.

4723920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4723920 is about 2173.4580741298. The cubic root of 4723920 is about 167.7905553215.

The spelling of 4723920 in words is "four million, seven hundred twenty-three thousand, nine hundred twenty".