10464480 has 216 divisors, whose sum is σ = 39567528. Its totient is φ = 2515968.

The previous prime is 10464463. The next prime is 10464499. The reversal of 10464480 is 8446401.

10464480 is a `hidden beast` number, since 10 + 4 + 644 + 8 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 243339 + ... + 243381.

It is an arithmetic number, because the mean of its divisors is an integer number (183183).

Almost surely, 2^10464480 is an apocalyptic number.

10464480 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 10464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19783764).

10464480 is an abundant number, since it is smaller than the sum of its proper divisors (29103048).

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

10464480 is a wasteful number, since it uses less digits than its factorization.

10464480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 10464480 is about 3234.8848511191. The cubic root of 10464480 is about 218.7287565765.

The spelling of 10464480 in words is "ten million, four hundred sixty-four thousand, four hundred eighty".