4503916224 has 140 divisors (see below), whose sum is σ = 13811859600. Its totient is φ = 1449487872.

The previous prime is 4503916223. The next prime is 4503916247. The reversal of 4503916224 is 4226193054.

It is a happy number.

4503916224 is a `hidden beast` number, since 4 + 503 + 91 + 62 + 2 + 4 = 666.

It is a super-2 number, since 2×4503916224² = 40570522705620836352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4503916223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 135357 + ... + 165315.

It is an arithmetic number, because the mean of its divisors is an integer number (98656140).

Almost surely, 2^4503916224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4503916224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905929800).

4503916224 is an abundant number, since it is smaller than the sum of its proper divisors (9307943376).

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

4503916224 is a wasteful number, since it uses less digits than its factorization.

4503916224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30012 (or 29993 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4503916224 is about 67111.2227872507. Note that the first 3 decimals coincide. The cubic root of 4503916224 is about 1651.4424147200.

The spelling of 4503916224 in words is "four billion, five hundred three million, nine hundred sixteen thousand, two hundred twenty-four".