224506960 has 40 divisors (see below), whose sum is σ = 538822656. Its totient is φ = 86904960.

The previous prime is 224506943. The next prime is 224506963. The reversal of 224506960 is 69605422.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224506963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42784 + ... + 47743.

Almost surely, 2^224506960 is an apocalyptic number.

224506960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224506960 is an abundant number, since it is smaller than the sum of its proper divisors (314315696).

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

224506960 is a wasteful number, since it uses less digits than its factorization.

224506960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90571 (or 90565 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 224506960 is about 14983.5563201798. The cubic root of 224506960 is about 607.7756126045.

The spelling of 224506960 in words is "two hundred twenty-four million, five hundred six thousand, nine hundred sixty".