224268480 has 224 divisors, whose sum is σ = 802111680. Its totient is φ = 58982400.

The previous prime is 224268479. The next prime is 224268487. The reversal of 224268480 is 84862422.

It is a happy number.

It is a super-2 number, since 2×224268480² = 100592702243020800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (224268487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872512 + ... + 872768.

Almost surely, 2^224268480 is an apocalyptic number.

224268480 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 224268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401055840).

224268480 is an abundant number, since it is smaller than the sum of its proper divisors (577843200).

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

224268480 is a wasteful number, since it uses less digits than its factorization.

224268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 224268480 is about 14975.5961484009. The cubic root of 224268480 is about 607.5603354188.

The spelling of 224268480 in words is "two hundred twenty-four million, two hundred sixty-eight thousand, four hundred eighty".