4524024960 has 960 divisors, whose sum is σ = 20387256120. Its totient is φ = 947552256.

The previous prime is 4524024943. The next prime is 4524024977. The reversal of 4524024960 is 694204254.

It is an interprime number because it is at equal distance from previous prime (4524024943) and next prime (4524024977).

It can be written as a sum of positive squares in 4 ways, for example, as 3017964096 + 1506060864 = 54936^2 + 38808^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33022012 + ... + 33022148.

Almost surely, 2^4524024960 is an apocalyptic number.

4524024960 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 4524024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10193628060).

4524024960 is an abundant number, since it is smaller than the sum of its proper divisors (15863231160).

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

4524024960 is a wasteful number, since it uses less digits than its factorization.

4524024960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4524024960 is about 67260.8724296675. The cubic root of 4524024960 is about 1653.8965100736.

The spelling of 4524024960 in words is "four billion, five hundred twenty-four million, twenty-four thousand, nine hundred sixty".