10480500 has 144 divisors (see below), whose sum is σ = 35262864. Its totient is φ = 2611200.

The previous prime is 10480499. The next prime is 10480529. The reversal of 10480500 is 508401.

It can be written as a sum of positive squares in 8 ways, for example, as 1695204 + 8785296 = 1302^2 + 2964^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76432 + ... + 76568.

It is an arithmetic number, because the mean of its divisors is an integer number (244881).

Almost surely, 2^10480500 is an apocalyptic number.

10480500 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 10480500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17631432).

10480500 is an abundant number, since it is smaller than the sum of its proper divisors (24782364).

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

10480500 is a wasteful number, since it uses less digits than its factorization.

10480500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10480500 is about 3237.3600355846. The cubic root of 10480500 is about 218.8403164469.

Adding to 10480500 its reverse (508401), we get a palindrome (10988901).

The spelling of 10480500 in words is "ten million, four hundred eighty thousand, five hundred".