224407040 has 160 divisors (see below), whose sum is σ = 633146976. Its totient is φ = 75202560.

The previous prime is 224407033. The next prime is 224407097. The reversal of 224407040 is 40704422.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 224406997 and 224407015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365774 + ... + 366386.

Almost surely, 2^224407040 is an apocalyptic number.

224407040 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 224407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316573488).

224407040 is an abundant number, since it is smaller than the sum of its proper divisors (408739936).

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

224407040 is a wasteful number, since it uses less digits than its factorization.

224407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 224407040 is about 14980.2216271990. The cubic root of 224407040 is about 607.6854328451.

The spelling of 224407040 in words is "two hundred twenty-four million, four hundred seven thousand, forty".