224906040 has 192 divisors, whose sum is σ = 778377600. Its totient is φ = 56160000.

The previous prime is 224906027. The next prime is 224906057. The reversal of 224906040 is 40609422.

It is a junction number, because it is equal to n+sod(n) for n = 224905995 and 224906013.

It is a congruent number.

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, 895915 + ... + 896165.

It is an arithmetic number, because the mean of its divisors is an integer number (4054050).

Almost surely, 2^224906040 is an apocalyptic number.

224906040 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 224906040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389188800).

224906040 is an abundant number, since it is smaller than the sum of its proper divisors (553471560).

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

224906040 is a wasteful number, since it uses less digits than its factorization.

224906040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 224906040 is about 14996.8676729509. The cubic root of 224906040 is about 608.1355235176.

The spelling of 224906040 in words is "two hundred twenty-four million, nine hundred six thousand, forty".