224894880 has 480 divisors, whose sum is σ = 945495936. Its totient is φ = 49268736.

The previous prime is 224894869. The next prime is 224894893. The reversal of 224894880 is 88498422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-5 number, since 5×224894880⁵ (a number of 43 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3356607 + ... + 3356673.

Almost surely, 2^224894880 is an apocalyptic number.

224894880 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 224894880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472747968).

224894880 is an abundant number, since it is smaller than the sum of its proper divisors (720601056).

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

224894880 is a wasteful number, since it uses less digits than its factorization.

224894880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 224894880 is about 14996.4955906372. The cubic root of 224894880 is about 608.1254646433.

The spelling of 224894880 in words is "two hundred twenty-four million, eight hundred ninety-four thousand, eight hundred eighty".