22380480 has 168 divisors, whose sum is σ = 81229200. Its totient is φ = 5640192.

The previous prime is 22380467. The next prime is 22380487. The reversal of 22380480 is 8408322.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22380487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54516 + ... + 54924.

Almost surely, 2^22380480 is an apocalyptic number.

22380480 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 22380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40614600).

22380480 is an abundant number, since it is smaller than the sum of its proper divisors (58848720).

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

22380480 is a wasteful number, since it uses less digits than its factorization.

22380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22380480 is about 4730.8012006424. The cubic root of 22380480 is about 281.8100425865.

The spelling of 22380480 in words is "twenty-two million, three hundred eighty thousand, four hundred eighty".