10449360 has 120 divisors (see below), whose sum is σ = 36676224. Its totient is φ = 2661120.

The previous prime is 10449343. The next prime is 10449371. The reversal of 10449360 is 6394401.

10449360 = 663² + 664² + ... + 685².

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16245 + ... + 16875.

Almost surely, 2^10449360 is an apocalyptic number.

10449360 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 10449360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338112).

10449360 is an abundant number, since it is smaller than the sum of its proper divisors (26226864).

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

10449360 is a wasteful number, since it uses less digits than its factorization.

10449360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10449360 is about 3232.5469834173. The cubic root of 10449360 is about 218.6233596237.

It can be divided in two parts, 1044 and 9360, that added together give a square (10404 = 102²).

The spelling of 10449360 in words is "ten million, four hundred forty-nine thousand, three hundred sixty".