4578 has 16 divisors (see below), whose sum is σ = 10560. Its totient is φ = 1296.

The previous prime is 4567. The next prime is 4583. The reversal of 4578 is 8754.

4578 = 4^{4} + 5^{4} + ... + 7^{4}.

4578 is nontrivially palindromic in base 13.

It is an Ulam number.

It is a Curzon number.

It is a plaindrome in base 10.

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13 + ... + 96.

It is an arithmetic number, because the mean of its divisors is an integer number (660).

2^{4578} is an apocalyptic number.

4578 is an abundant number, since it is smaller than the sum of its proper divisors (5982).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5280).

4578 is a wasteful number, since it uses less digits than its factorization.

4578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121.

The product of its digits is 1120, while the sum is 24.

The square root of 4578 is about 67.6609192961. The cubic root of 4578 is about 16.6044793641.

Subtracting from 4578 its sum of digits (24), we obtain a palindrome (4554).

It can be divided in two parts, 457 and 8, that added together give a triangular number (465 = T_{30}).

The spelling of 4578 in words is "four thousand, five hundred seventy-eight".

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