10456480 has 24 divisors (see below), whose sum is σ = 24703812. Its totient is φ = 4182528.

The previous prime is 10456477. The next prime is 10456483. The reversal of 10456480 is 8465401.

10456480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10456477) and next prime (10456483).

It can be written as a sum of positive squares in 2 ways, for example, as 10214416 + 242064 = 3196^2 + 492^2 .

It is not an unprimeable number, because it can be changed into a prime (10456483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32517 + ... + 32836.

Almost surely, 2^10456480 is an apocalyptic number.

10456480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10456480 is an abundant number, since it is smaller than the sum of its proper divisors (14247332).

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

10456480 is an equidigital number, since it uses as much as digits as its factorization.

10456480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65368 (or 65360 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 10456480 is about 3233.6480946448. The cubic root of 10456480 is about 218.6730036500.

It can be divided in two parts, 10 and 456480, that added together give a triangular number (456490 = T₉₅₅).

The spelling of 10456480 in words is "ten million, four hundred fifty-six thousand, four hundred eighty".