21300480 has 162 divisors, whose sum is σ = 75451194. Its totient is φ = 5548032.

The previous prime is 21300479. The next prime is 21300481. The reversal of 21300480 is 8400312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21300479) and next prime (21300481).

It can be written as a sum of positive squares in only one way, i.e., 17040384 + 4260096 = 4128^2 + 2064^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21300481) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 495339 + ... + 495381.

Almost surely, 2^21300480 is an apocalyptic number.

21300480 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 21300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37725597).

21300480 is an abundant number, since it is smaller than the sum of its proper divisors (54150714).

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

21300480 is an equidigital number, since it uses as much as digits as its factorization.

21300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21300480 is about 4615.2443055596. The cubic root of 21300480 is about 277.2020664126.

Adding to 21300480 its reverse (8400312), we get a palindrome (29700792).

The spelling of 21300480 in words is "twenty-one million, three hundred thousand, four hundred eighty".