4578080 has 96 divisors (see below), whose sum is σ = 12192768. Its totient is φ = 1612800.

The previous prime is 4578059. The next prime is 4578097. The reversal of 4578080 is 808754.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 64445 + ... + 64515.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

Almost surely, 2^4578080 is an apocalyptic number.

4578080 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 4578080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384).

4578080 is an abundant number, since it is smaller than the sum of its proper divisors (7614688).

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

4578080 is a wasteful number, since it uses less digits than its factorization.

4578080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 4578080 is about 2139.6448303398. The cubic root of 4578080 is about 166.0457608393.

It can be divided in two parts, 45 and 78080, that added together give a 7-th power (78125 = 5⁷).

The spelling of 4578080 in words is "four million, five hundred seventy-eight thousand, eighty".