224041464 has 160 divisors (see below), whose sum is σ = 683020800. Its totient is φ = 68351040.

The previous prime is 224041439. The next prime is 224041469. The reversal of 224041464 is 464140422.

It is a happy number.

224041464 is a `hidden beast` number, since 2 + 240 + 414 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224041469) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 381379 + ... + 381965.

It is an arithmetic number, because the mean of its divisors is an integer number (4268880).

Almost surely, 2^224041464 is an apocalyptic number.

224041464 is a gapful number since it is divisible by the number (24) 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 224041464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341510400).

224041464 is an abundant number, since it is smaller than the sum of its proper divisors (458979336).

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

224041464 is a wasteful number, since it uses less digits than its factorization.

224041464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 224041464 is about 14968.0146980152. The cubic root of 224041464 is about 607.3552650171.

Adding to 224041464 its reverse (464140422), we get a palindrome (688181886).

The spelling of 224041464 in words is "two hundred twenty-four million, forty-one thousand, four hundred sixty-four".