21900480 has 112 divisors (see below), whose sum is σ = 79491840. Its totient is φ = 5004288.

The previous prime is 21900479. The next prime is 21900493. The reversal of 21900480 is 8400912.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21900480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5091 + ... + 8349.

Almost surely, 2^21900480 is an apocalyptic number.

21900480 is a gapful number since it is divisible by the number (20) 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 21900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39745920).

21900480 is an abundant number, since it is smaller than the sum of its proper divisors (57591360).

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

21900480 is a wasteful number, since it uses less digits than its factorization.

21900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 21900480 is about 4679.7948672992. The cubic root of 21900480 is about 279.7807807934.

The spelling of 21900480 in words is "twenty-one million, nine hundred thousand, four hundred eighty".