224395920 has 480 divisors, whose sum is σ = 955438848. Its totient is φ = 47775744.

The previous prime is 224395879. The next prime is 224395933. The reversal of 224395920 is 29593422.

224395920 is a `hidden beast` number, since 22 + 43 + 9 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2313312 + ... + 2313408.

Almost surely, 2^224395920 is an apocalyptic number.

224395920 is a gapful number since it is divisible by the number (20) 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 224395920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477719424).

224395920 is an abundant number, since it is smaller than the sum of its proper divisors (731042928).

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

224395920 is a wasteful number, since it uses less digits than its factorization.

224395920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 224395920 is about 14979.8504665434. The cubic root of 224395920 is about 607.6753951719.

The spelling of 224395920 in words is "two hundred twenty-four million, three hundred ninety-five thousand, nine hundred twenty".