10452960 has 288 divisors, whose sum is σ = 43872192. Its totient is φ = 2211840.

The previous prime is 10452917. The next prime is 10452973. The reversal of 10452960 is 6925401.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171330 + ... + 171390.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 2^10452960 is an apocalyptic number.

10452960 is a gapful number since it is divisible by the number (10) 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 10452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936096).

10452960 is an abundant number, since it is smaller than the sum of its proper divisors (33419232).

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

10452960 is a wasteful number, since it uses less digits than its factorization.

10452960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

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

The square root of 10452960 is about 3233.1037719195. The cubic root of 10452960 is about 218.6484633535.

It can be divided in two parts, 1045 and 2960, that added together give a triangular number (4005 = T₈₉).

The spelling of 10452960 in words is "ten million, four hundred fifty-two thousand, nine hundred sixty".