4753920 has 80 divisors (see below), whose sum is σ = 15222240. Its totient is φ = 1265664.

The previous prime is 4753919. The next prime is 4753921. The reversal of 4753920 is 293574.

It is an interprime number because it is at equal distance from previous prime (4753919) and next prime (4753921).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4753921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7371 + ... + 7989.

It is an arithmetic number, because the mean of its divisors is an integer number (190278).

Almost surely, 2^4753920 is an apocalyptic number.

4753920 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 4753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7611120).

4753920 is an abundant number, since it is smaller than the sum of its proper divisors (10468320).

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

4753920 is an equidigital number, since it uses as much as digits as its factorization.

4753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 4753920 is about 2180.3485959818. The cubic root of 4753920 is about 168.1449995325.

The spelling of 4753920 in words is "four million, seven hundred fifty-three thousand, nine hundred twenty".