10500408 has 64 divisors (see below), whose sum is σ = 29440800. Its totient is φ = 3467520.

The previous prime is 10500379. The next prime is 10500421. The reversal of 10500408 is 80400501.

It is a super-2 number, since 2×10500408² = 220517136332928, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 37228 + ... + 37508.

Almost surely, 2^10500408 is an apocalyptic number.

10500408 is a gapful number since it is divisible by the number (18) 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 10500408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14720400).

10500408 is an abundant number, since it is smaller than the sum of its proper divisors (18940392).

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

10500408 is a wasteful number, since it uses less digits than its factorization.

10500408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 459 counting only the distinct ones).

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

The square root of 10500408 is about 3240.4333043592. The cubic root of 10500408 is about 218.9787932177.

Adding to 10500408 its reverse (80400501), we get a palindrome (90900909).

The spelling of 10500408 in words is "ten million, five hundred thousand, four hundred eight".