4152001460 has 48 divisors (see below), whose sum is σ = 9299589264. Its totient is φ = 1551679488.

The previous prime is 4152001393. The next prime is 4152001487. The reversal of 4152001460 is 641002514.

It can be written as a sum of positive squares in 8 ways, for example, as 578113936 + 3573887524 = 24044^2 + 59782^2 .

It is a super-2 number, since 2×4152001460² = 34478232247684263200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2012 + ... + 91148.

It is an arithmetic number, because the mean of its divisors is an integer number (193741443).

Almost surely, 2^4152001460 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 4152001460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649794632).

4152001460 is an abundant number, since it is smaller than the sum of its proper divisors (5147587804).

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

4152001460 is a wasteful number, since it uses less digits than its factorization.

4152001460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89300 (or 89298 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 4152001460 is about 64436.0261034152. The cubic root of 4152001460 is about 1607.2588749281.

Adding to 4152001460 its reverse (641002514), we get a palindrome (4793003974).

The spelling of 4152001460 in words is "four billion, one hundred fifty-two million, one thousand, four hundred sixty".