10449792 has 96 divisors (see below), whose sum is σ = 30869280. Its totient is φ = 3391488.

The previous prime is 10449787. The next prime is 10449809. The reversal of 10449792 is 29794401.

10449792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54048 + ... + 54240.

It is an arithmetic number, because the mean of its divisors is an integer number (321555).

Almost surely, 2^10449792 is an apocalyptic number.

10449792 is a gapful number since it is divisible by the number (12) 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 10449792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434640).

10449792 is an abundant number, since it is smaller than the sum of its proper divisors (20419488).

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

10449792 is a wasteful number, since it uses less digits than its factorization.

10449792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 10449792 is about 3232.6138031011. The cubic root of 10449792 is about 218.6263723757.

The spelling of 10449792 in words is "ten million, four hundred forty-nine thousand, seven hundred ninety-two".