4807296 has 128 divisors (see below), whose sum is σ = 15422400. Its totient is φ = 1465344.

The previous prime is 4807241. The next prime is 4807303. The reversal of 4807296 is 6927084.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×4807296³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 4807296.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44875 + ... + 44981.

Almost surely, 2^4807296 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 4807296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711200).

4807296 is an abundant number, since it is smaller than the sum of its proper divisors (10615104).

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

4807296 is a wasteful number, since it uses less digits than its factorization.

4807296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4807296 is about 2192.5546743468. The cubic root of 4807296 is about 168.7719576366.

It can be divided in two parts, 480 and 7296, that added together give a 5-th power (7776 = 6⁵).

The spelling of 4807296 in words is "four million, eight hundred seven thousand, two hundred ninety-six".