224350464 has 144 divisors (see below), whose sum is σ = 671674752. Its totient is φ = 65961984.

The previous prime is 224350459. The next prime is 224350481. The reversal of 224350464 is 464053422.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229144 + ... + 230120.

It is an arithmetic number, because the mean of its divisors is an integer number (4664408).

Almost surely, 2^224350464 is an apocalyptic number.

224350464 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 224350464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335837376).

224350464 is an abundant number, since it is smaller than the sum of its proper divisors (447324288).

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

224350464 is a wasteful number, since it uses less digits than its factorization.

224350464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 224350464 is about 14978.3331515893. Note that the first 3 decimals coincide. The cubic root of 224350464 is about 607.6343600257.

The spelling of 224350464 in words is "two hundred twenty-four million, three hundred fifty thousand, four hundred sixty-four".