224052480 has 180 divisors, whose sum is σ = 802071732. Its totient is φ = 59719680.

The previous prime is 224052467. The next prime is 224052523. The reversal of 224052480 is 84250422.

It is a happy number.

224052480 is a `hidden beast` number, since 22 + 40 + 524 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110502144 + 113550336 = 10512^2 + 10656^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 102600 + ... + 104760.

Almost surely, 2^224052480 is an apocalyptic number.

224052480 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 224052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401035866).

224052480 is an abundant number, since it is smaller than the sum of its proper divisors (578019252).

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

224052480 is an equidigital number, since it uses as much as digits as its factorization.

224052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 224052480 is about 14968.3826781653. The cubic root of 224052480 is about 607.3652192994.

The spelling of 224052480 in words is "two hundred twenty-four million, fifty-two thousand, four hundred eighty".