10480590 has 96 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 2636064.

The previous prime is 10480579. The next prime is 10480601. The reversal of 10480590 is 9508401.

It is an interprime number because it is at equal distance from previous prime (10480579) and next prime (10480601).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46057 + ... + 46283.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 2^10480590 is an apocalyptic number.

10480590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10480590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

10480590 is an abundant number, since it is smaller than the sum of its proper divisors (19396530).

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

10480590 is a wasteful number, since it uses less digits than its factorization.

10480590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10480590 is about 3237.3739357695. The cubic root of 10480590 is about 218.8409428666.

Adding to 10480590 its reverse (9508401), we get a palindrome (19988991).

The spelling of 10480590 in words is "ten million, four hundred eighty thousand, five hundred ninety".