224376480 has 288 divisors, whose sum is σ = 825552000. Its totient is φ = 57480192.

The previous prime is 224376479. The next prime is 224376497. The reversal of 224376480 is 84673422.

224376480 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 7 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1127421 + ... + 1127619.

It is an arithmetic number, because the mean of its divisors is an integer number (2866500).

Almost surely, 2^224376480 is an apocalyptic number.

224376480 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 224376480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412776000).

224376480 is an abundant number, since it is smaller than the sum of its proper divisors (601175520).

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

224376480 is a wasteful number, since it uses less digits than its factorization.

224376480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 224376480 is about 14979.2015808587. The cubic root of 224376480 is about 607.6578465004.

The spelling of 224376480 in words is "two hundred twenty-four million, three hundred seventy-six thousand, four hundred eighty".