18420480 has 288 divisors, whose sum is σ = 72112320. Its totient is φ = 4423680.

The previous prime is 18420433. The next prime is 18420491. The reversal of 18420480 is 8402481.

18420480 is a `hidden beast` number, since 184 + 2 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449260 + ... + 449300.

It is an arithmetic number, because the mean of its divisors is an integer number (250390).

Almost surely, 2^18420480 is an apocalyptic number.

18420480 is a gapful number since it is divisible by the number (10) 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 18420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36056160).

18420480 is an abundant number, since it is smaller than the sum of its proper divisors (53691840).

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

18420480 is a wasteful number, since it uses less digits than its factorization.

18420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 18420480 is about 4291.9086663162. The cubic root of 18420480 is about 264.0991363217.

The spelling of 18420480 in words is "eighteen million, four hundred twenty thousand, four hundred eighty".