4805920 has 72 divisors (see below), whose sum is σ = 13229244. Its totient is φ = 1645056.

The previous prime is 4805903. The next prime is 4805929. The reversal of 4805920 is 295084.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3952144 + 853776 = 1988^2 + 924^2 .

It is a super-3 number, since 3×4805920³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4805929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7534 + ... + 8146.

Almost surely, 2^4805920 is an apocalyptic number.

4805920 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 4805920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6614622).

4805920 is an abundant number, since it is smaller than the sum of its proper divisors (8423324).

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

4805920 is a wasteful number, since it uses less digits than its factorization.

4805920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 4805920 is about 2192.2408626791. The cubic root of 4805920 is about 168.7558534778.

It can be divided in two parts, 480 and 5920, that added together give a square (6400 = 80²).

The spelling of 4805920 in words is "four million, eight hundred five thousand, nine hundred twenty".