4484153520 has 1200 divisors, whose sum is σ = 21072817920. Its totient is φ = 862202880.

The previous prime is 4484153519. The next prime is 4484153521. The reversal of 4484153520 is 253514844.

It is a happy number.

4484153520 is a `hidden beast` number, since 4 + 4 + 84 + 1 + 53 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (4484153519) and next prime (4484153521).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (4484153521) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 104282619 + ... + 104282661.

Almost surely, 2^4484153520 is an apocalyptic number.

4484153520 is a gapful number since it is divisible by the number (40) 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 4484153520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10536408960).

4484153520 is an abundant number, since it is smaller than the sum of its proper divisors (16588664400).

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

4484153520 is a wasteful number, since it uses less digits than its factorization.

4484153520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4484153520 is about 66963.8224715406. The cubic root of 4484153520 is about 1649.0234221114.

The spelling of 4484153520 in words is "four billion, four hundred eighty-four million, one hundred fifty-three thousand, five hundred twenty".