10468480 has 64 divisors (see below), whose sum is σ = 27319680. Its totient is φ = 3804160.

The previous prime is 10468477. The next prime is 10468501. The reversal of 10468480 is 8486401.

10468480 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 (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6297 + ... + 7783.

It is an arithmetic number, because the mean of its divisors is an integer number (426870).

Almost surely, 2^10468480 is an apocalyptic number.

10468480 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 10468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659840).

10468480 is an abundant number, since it is smaller than the sum of its proper divisors (16851200).

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

10468480 is a wasteful number, since it uses less digits than its factorization.

10468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 10468480 is about 3235.5030520771. The cubic root of 10468480 is about 218.7566223845.

The spelling of 10468480 in words is "ten million, four hundred sixty-eight thousand, four hundred eighty".