224279040 has 320 divisors, whose sum is σ = 795484800. Its totient is φ = 53673984.

The previous prime is 224279023. The next prime is 224279047. The reversal of 224279040 is 40972422.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 224278989 and 224279007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224279047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4231654 + ... + 4231706.

It is an arithmetic number, because the mean of its divisors is an integer number (2485890).

Almost surely, 2^224279040 is an apocalyptic number.

224279040 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 224279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397742400).

224279040 is an abundant number, since it is smaller than the sum of its proper divisors (571205760).

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

224279040 is a wasteful number, since it uses less digits than its factorization.

224279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 224279040 is about 14975.9487178609. The cubic root of 224279040 is about 607.5698712163.

The spelling of 224279040 in words is "two hundred twenty-four million, two hundred seventy-nine thousand, forty".