224487648 has 288 divisors, whose sum is σ = 815173632. Its totient is φ = 56908800.

The previous prime is 224487589. The next prime is 224487667. The reversal of 224487648 is 846784422.

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

It is a nude number because it is divisible by every one of its digits.

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, 1175233 + ... + 1175423.

It is an arithmetic number, because the mean of its divisors is an integer number (2830464).

Almost surely, 2^224487648 is an apocalyptic number.

224487648 is a gapful number since it is divisible by the number (28) 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 224487648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407586816).

224487648 is an abundant number, since it is smaller than the sum of its proper divisors (590685984).

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

224487648 is a wasteful number, since it uses less digits than its factorization.

224487648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 267 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 224487648 is about 14982.9118665231. The cubic root of 224487648 is about 607.7581852321.

The spelling of 224487648 in words is "two hundred twenty-four million, four hundred eighty-seven thousand, six hundred forty-eight".