4809456 has 60 divisors (see below), whose sum is σ = 13969592. Its totient is φ = 1601856.

The previous prime is 4809443. The next prime is 4809457. The reversal of 4809456 is 6549084.

4809456 is nontrivially palindromic in base 15.

It is a super-3 number, since 3×4809456³ (a number of 21 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4809456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4809457) 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, 3270 + ... + 4506.

Almost surely, 2^4809456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4809456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6984796).

4809456 is an abundant number, since it is smaller than the sum of its proper divisors (9160136).

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

4809456 is a wasteful number, since it uses less digits than its factorization.

4809456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4809456 is about 2193.0471951146. The cubic root of 4809456 is about 168.7972312237.

The spelling of 4809456 in words is "four million, eight hundred nine thousand, four hundred fifty-six".