4152660480 has 320 divisors, whose sum is σ = 14970827520. Its totient is φ = 1090879488.

The previous prime is 4152660409. The next prime is 4152660493. The reversal of 4152660480 is 840662514.

4152660480 is a `hidden beast` number, since 41 + 5 + 2 + 6 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5045349 + ... + 5046171.

It is an arithmetic number, because the mean of its divisors is an integer number (46783836).

Almost surely, 2^4152660480 is an apocalyptic number.

4152660480 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 4152660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485413760).

4152660480 is an abundant number, since it is smaller than the sum of its proper divisors (10818167040).

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

4152660480 is an equidigital number, since it uses as much as digits as its factorization.

4152660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4152660480 is about 64441.1396547268. The cubic root of 4152660480 is about 1607.3439069878.

The spelling of 4152660480 in words is "four billion, one hundred fifty-two million, six hundred sixty thousand, four hundred eighty".