18748480 has 56 divisors (see below), whose sum is σ = 45765720. Its totient is φ = 7311360.

The previous prime is 18748453. The next prime is 18748487. The reversal of 18748480 is 8484781.

It can be written as a sum of positive squares in 4 ways, for example, as 906304 + 17842176 = 952^2 + 4224^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18748487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12406 + ... + 13834.

It is an arithmetic number, because the mean of its divisors is an integer number (817245).

Almost surely, 2^18748480 is an apocalyptic number.

18748480 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 18748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22882860).

18748480 is an abundant number, since it is smaller than the sum of its proper divisors (27017240).

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

18748480 is a wasteful number, since it uses less digits than its factorization.

18748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 18748480 is about 4329.9515008831. The cubic root of 18748480 is about 265.6574632527.

The spelling of 18748480 in words is "eighteen million, seven hundred forty-eight thousand, four hundred eighty".