10459904 has 72 divisors (see below), whose sum is σ = 25754400. Its totient is φ = 4128768.

The previous prime is 10459859. The next prime is 10459919. The reversal of 10459904 is 40995401.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23072 + ... + 23520.

It is an arithmetic number, because the mean of its divisors is an integer number (357700).

Almost surely, 2^10459904 is an apocalyptic number.

10459904 is a gapful number since it is divisible by the number (14) 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 10459904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12877200).

10459904 is an abundant number, since it is smaller than the sum of its proper divisors (15294496).

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

10459904 is an equidigital number, since it uses as much as digits as its factorization.

10459904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 10459904 is about 3234.1774843073. The cubic root of 10459904 is about 218.6968693822.

It can be divided in two parts, 104 and 59904, that multiplied together give a square (6230016 = 2496²).

The spelling of 10459904 in words is "ten million, four hundred fifty-nine thousand, nine hundred four".