224620480 has 112 divisors (see below), whose sum is σ = 616305600. Its totient is φ = 76382208.

The previous prime is 224620447. The next prime is 224620481. The reversal of 224620480 is 84026422.

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 (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224620481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333424 + ... + 334096.

Almost surely, 2^224620480 is an apocalyptic number.

224620480 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 224620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308152800).

224620480 is an abundant number, since it is smaller than the sum of its proper divisors (391685120).

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

224620480 is a wasteful number, since it uses less digits than its factorization.

224620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 224620480 is about 14987.3439941839. The cubic root of 224620480 is about 607.8780341685.

The spelling of 224620480 in words is "two hundred twenty-four million, six hundred twenty thousand, four hundred eighty".