4415272224 has 48 divisors (see below), whose sum is σ = 12643737120. Its totient is φ = 1337960960.

The previous prime is 4415272223. The next prime is 4415272237. The reversal of 4415272224 is 4222725144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4415272223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2089509 + ... + 2091620.

It is an arithmetic number, because the mean of its divisors is an integer number (263411190).

Almost surely, 2^4415272224 is an apocalyptic number.

4415272224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4415272224 is an abundant number, since it is smaller than the sum of its proper divisors (8228464896).

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

4415272224 is a wasteful number, since it uses less digits than its factorization.

4415272224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181153 (or 4181145 counting only the distinct ones).

The product of its digits is 35840, while the sum is 33.

The square root of 4415272224 is about 66447.5148068007. The cubic root of 4415272224 is about 1640.5362394763.

Adding to 4415272224 its reverse (4222725144), we get a palindrome (8637997368).

The spelling of 4415272224 in words is "four billion, four hundred fifteen million, two hundred seventy-two thousand, two hundred twenty-four".