10400500 has 96 divisors (see below), whose sum is σ = 25998336. Its totient is φ = 3600000.

The previous prime is 10400491. The next prime is 10400501. The reversal of 10400500 is 500401.

10400500 = 136³ + 137³ + ... + 139³.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170470 + ... + 170530.

It is an arithmetic number, because the mean of its divisors is an integer number (270816).

Almost surely, 2^10400500 is an apocalyptic number.

10400500 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 10400500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12999168).

10400500 is an abundant number, since it is smaller than the sum of its proper divisors (15597836).

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

10400500 is a wasteful number, since it uses less digits than its factorization.

10400500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 10400500 is about 3224.9806200968. The cubic root of 10400500 is about 218.2820746103.

10400500 divided by its product of nonzero digits (20) gives a palindrome (520025).

Adding to 10400500 its reverse (500401), we get a palindrome (10900901).

Subtracting from 10400500 its reverse (500401), we obtain a palindrome (9900099).

The spelling of 10400500 in words is "ten million, four hundred thousand, five hundred".