4807504 has 40 divisors (see below), whose sum is σ = 10389960. Its totient is φ = 2139648.

The previous prime is 4807501. The next prime is 4807519. The reversal of 4807504 is 4057084.

It can be written as a sum of positive squares in 4 ways, for example, as 193600 + 4613904 = 440^2 + 2148^2 .

It is a super-3 number, since 3×4807504³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4807501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5634 + ... + 6430.

It is an arithmetic number, because the mean of its divisors is an integer number (259749).

Almost surely, 2^4807504 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 4807504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194980).

4807504 is an abundant number, since it is smaller than the sum of its proper divisors (5582456).

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

4807504 is a wasteful number, since it uses less digits than its factorization.

4807504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 4807504 is about 2192.6021070865. The cubic root of 4807504 is about 168.7743917188.

The spelling of 4807504 in words is "four million, eight hundred seven thousand, five hundred four".