4609920 has 160 divisors (see below), whose sum is σ = 17142120. Its totient is φ = 1053696.

The previous prime is 4609909. The next prime is 4609921. The reversal of 4609920 is 299064.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4609921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 658557 + ... + 658563.

Almost surely, 2^4609920 is an apocalyptic number.

4609920 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 4609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8571060).

4609920 is an abundant number, since it is smaller than the sum of its proper divisors (12532200).

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

4609920 is an frugal number, since it uses more digits than its factorization.

4609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 4609920 is about 2147.0724254203. The cubic root of 4609920 is about 166.4298146774.

Multiplying 4609920 by its sum of digits (30), we get a square (138297600 = 11760²).

4609920 divided by its sum of digits (30) gives a square (153664 = 392²).

The spelling of 4609920 in words is "four million, six hundred nine thousand, nine hundred twenty".