20458080 has 72 divisors (see below), whose sum is σ = 69818112. Its totient is φ = 5455104.

The previous prime is 20458069. The next prime is 20458091. The reversal of 20458080 is 8085402.

20458080 is a `hidden beast` number, since 2 + 0 + 4 + 580 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (20458069) and next prime (20458091).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5664 + ... + 8543.

It is an arithmetic number, because the mean of its divisors is an integer number (969696).

Almost surely, 2^20458080 is an apocalyptic number.

20458080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20458080 is an abundant number, since it is smaller than the sum of its proper divisors (49360032).

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

20458080 is a wasteful number, since it uses less digits than its factorization.

20458080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14228 (or 14217 counting only the distinct ones).

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

The square root of 20458080 is about 4523.0609104897. The cubic root of 20458080 is about 273.4985054958.

The spelling of 20458080 in words is "twenty million, four hundred fifty-eight thousand, eighty".