4582080 has 168 divisors, whose sum is σ = 16562832. Its totient is φ = 1161216.

The previous prime is 4582073. The next prime is 4582091. The reversal of 4582080 is 802854.

4582080 is a `hidden beast` number, since 4 + 582 + 0 + 80 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106539 + ... + 106581.

Almost surely, 2^4582080 is an apocalyptic number.

4582080 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 4582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8281416).

4582080 is an abundant number, since it is smaller than the sum of its proper divisors (11980752).

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

4582080 is a wasteful number, since it uses less digits than its factorization.

4582080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4582080 is about 2140.5793608273. The cubic root of 4582080 is about 166.0941064120.

The spelling of 4582080 in words is "four million, five hundred eighty-two thousand, eighty".