10286480 has 40 divisors (see below), whose sum is σ = 24266304. Its totient is φ = 4054400.

The previous prime is 10286477. The next prime is 10286489. The reversal of 10286480 is 8468201.

10286480 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 (40).

It is not an unprimeable number, because it can be changed into a prime (10286489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4775 + ... + 6585.

Almost surely, 2^10286480 is an apocalyptic number.

10286480 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 10286480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12133152).

10286480 is an abundant number, since it is smaller than the sum of its proper divisors (13979824).

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

10286480 is a wasteful number, since it uses less digits than its factorization.

10286480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 10286480 is about 3207.2542774155. The cubic root of 10286480 is about 217.4814710952.

The spelling of 10286480 in words is "ten million, two hundred eighty-six thousand, four hundred eighty".