18949280 has 72 divisors (see below), whose sum is σ = 52098228. Its totient is φ = 6494208.

The previous prime is 18949253. The next prime is 18949297. The reversal of 18949280 is 8294981.

It can be written as a sum of positive squares in 2 ways, for example, as 17875984 + 1073296 = 4228^2 + 1036^2 .

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 11 ways as a sum of consecutive naturals, for example, 6632 + ... + 9048.

Almost surely, 2^18949280 is an apocalyptic number.

18949280 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 18949280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26049114).

18949280 is an abundant number, since it is smaller than the sum of its proper divisors (33148948).

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

18949280 is a wasteful number, since it uses less digits than its factorization.

18949280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 18949280 is about 4353.0770726005. The cubic root of 18949280 is about 266.6025123449.

The spelling of 18949280 in words is "eighteen million, nine hundred forty-nine thousand, two hundred eighty".