224455440 has 80 divisors (see below), whose sum is σ = 759076416. Its totient is φ = 54412800.

The previous prime is 224455423. The next prime is 224455481. The reversal of 224455440 is 44554422.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 224455398 and 224455407.

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, 39871 + ... + 45150.

Almost surely, 2^224455440 is an apocalyptic number.

224455440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224455440 is an abundant number, since it is smaller than the sum of its proper divisors (534620976).

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

224455440 is a wasteful number, since it uses less digits than its factorization.

224455440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85048 (or 85042 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 224455440 is about 14981.8370035186. The cubic root of 224455440 is about 607.7291181363.

It can be divided in two parts, 2 and 24455440, that added together give a palindrome (24455442).

The spelling of 224455440 in words is "two hundred twenty-four million, four hundred fifty-five thousand, four hundred forty".