4597920 has 144 divisors (see below), whose sum is σ = 16353792. Its totient is φ = 1175040.

The previous prime is 4597919. The next prime is 4597927. The reversal of 4597920 is 297954.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4597920² = 42281736652800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4597927) 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 23 ways as a sum of consecutive naturals, for example, 44589 + ... + 44691.

It is an arithmetic number, because the mean of its divisors is an integer number (113568).

Almost surely, 2^4597920 is an apocalyptic number.

4597920 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 4597920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176896).

4597920 is an abundant number, since it is smaller than the sum of its proper divisors (11755872).

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

4597920 is a wasteful number, since it uses less digits than its factorization.

4597920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 4597920 is about 2144.2761016250. The cubic root of 4597920 is about 166.2852790377.

The spelling of 4597920 in words is "four million, five hundred ninety-seven thousand, nine hundred twenty".