10484500 has 48 divisors (see below), whose sum is σ = 24674832. Its totient is φ = 3868800.

The previous prime is 10484483. The next prime is 10484501. The reversal of 10484500 is 548401.

It can be written as a sum of positive squares in 8 ways, for example, as 4743684 + 5740816 = 2178^2 + 2396^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10484501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5694 + ... + 7306.

It is an arithmetic number, because the mean of its divisors is an integer number (514059).

Almost surely, 2^10484500 is an apocalyptic number.

10484500 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 10484500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337416).

10484500 is an abundant number, since it is smaller than the sum of its proper divisors (14190332).

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

10484500 is a wasteful number, since it uses less digits than its factorization.

10484500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 10484500 is about 3237.9777639755. The cubic root of 10484500 is about 218.8681538569.

The spelling of 10484500 in words is "ten million, four hundred eighty-four thousand, five hundred".