4152960 has 192 divisors, whose sum is σ = 16548480. Its totient is φ = 940032.

The previous prime is 4152959. The next prime is 4152971. The reversal of 4152960 is 692514.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40269 + ... + 40371.

It is an arithmetic number, because the mean of its divisors is an integer number (86190).

Almost surely, 2^4152960 is an apocalyptic number.

4152960 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 4152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8274240).

4152960 is an abundant number, since it is smaller than the sum of its proper divisors (12395520).

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

4152960 is a wasteful number, since it uses less digits than its factorization.

4152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 4152960 is about 2037.8812526740. The cubic root of 4152960 is about 160.7382550493.

It can be divided in two parts, 415 and 2960, that added together give a cube (3375 = 15³).

The spelling of 4152960 in words is "four million, one hundred fifty-two thousand, nine hundred sixty".