224969472 has 432 divisors, whose sum is σ = 848178240. Its totient is φ = 55738368.

The previous prime is 224969461. The next prime is 224969581. The reversal of 224969472 is 274969422.

It is a happy number.

224969472 is a `hidden beast` number, since 2 + 2 + 496 + 94 + 72 = 666.

It is a super-2 number, since 2×224969472² = 101222526663917568, which contains 22 as substring.

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

Its product of digits (435456) is a multiple of the sum of its prime factors (108).

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, 6080238 + ... + 6080274.

Almost surely, 2^224969472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224969472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424089120).

224969472 is an abundant number, since it is smaller than the sum of its proper divisors (623208768).

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

224969472 is a wasteful number, since it uses less digits than its factorization.

224969472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 91 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 224969472 is about 14998.9823654807. The cubic root of 224969472 is about 608.1926905409.

The spelling of 224969472 in words is "two hundred twenty-four million, nine hundred sixty-nine thousand, four hundred seventy-two".