4809280 has 112 divisors (see below), whose sum is σ = 13898880. Its totient is φ = 1548288.

The previous prime is 4809271. The next prime is 4809281. The reversal of 4809280 is 829084.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×4809280³ (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4809281) 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 15 ways as a sum of consecutive naturals, for example, 42504 + ... + 42616.

Almost surely, 2^4809280 is an apocalyptic number.

4809280 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 4809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949440).

4809280 is an abundant number, since it is smaller than the sum of its proper divisors (9089600).

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

4809280 is a wasteful number, since it uses less digits than its factorization.

4809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 4809280 is about 2193.0070679321. The cubic root of 4809280 is about 168.7951721776.

Subtracting from 4809280 its sum of digits (31), we obtain a square (4809249 = 2193²).

The spelling of 4809280 in words is "four million, eight hundred nine thousand, two hundred eighty".