4754560 has 128 divisors (see below), whose sum is σ = 13219200. Its totient is φ = 1622016.

The previous prime is 4754551. The next prime is 4754591. The reversal of 4754560 is 654574.

4754560 = T₅₀ + T₅₁ + ... + T₃₀₅.

It is a happy number.

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

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, 206709 + ... + 206731.

It is an arithmetic number, because the mean of its divisors is an integer number (103275).

Almost surely, 2^4754560 is an apocalyptic number.

4754560 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 4754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609600).

4754560 is an abundant number, since it is smaller than the sum of its proper divisors (8464640).

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

4754560 is a wasteful number, since it uses less digits than its factorization.

4754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 4754560 is about 2180.4953565646. The cubic root of 4754560 is about 168.1525447423.

The spelling of 4754560 in words is "four million, seven hundred fifty-four thousand, five hundred sixty".