10392480 has 144 divisors (see below), whose sum is σ = 40569984. Its totient is φ = 2373120.

The previous prime is 10392479. The next prime is 10392493. The reversal of 10392480 is 8429301.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 9565 + ... + 10595.

It is an arithmetic number, because the mean of its divisors is an integer number (281736).

Almost surely, 2^10392480 is an apocalyptic number.

10392480 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 10392480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20284992).

10392480 is an abundant number, since it is smaller than the sum of its proper divisors (30177504).

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

10392480 is a wasteful number, since it uses less digits than its factorization.

10392480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10392480 is about 3223.7369619744. The cubic root of 10392480 is about 218.2259531927.

The spelling of 10392480 in words is "ten million, three hundred ninety-two thousand, four hundred eighty".