224442480 has 160 divisors (see below), whose sum is σ = 727953408. Its totient is φ = 57139200.

The previous prime is 224442479. The next prime is 224442523. The reversal of 224442480 is 84244422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721525 + ... + 721835.

Almost surely, 2^224442480 is an apocalyptic number.

224442480 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 224442480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363976704).

224442480 is an abundant number, since it is smaller than the sum of its proper divisors (503510928).

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

224442480 is a wasteful number, since it uses less digits than its factorization.

224442480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The square root of 224442480 is about 14981.4044735465. The cubic root of 224442480 is about 607.7174212030.

The spelling of 224442480 in words is "two hundred twenty-four million, four hundred forty-two thousand, four hundred eighty".