10408352 has 72 divisors (see below), whose sum is σ = 23330916. Its totient is φ = 4552704.

The previous prime is 10408339. The next prime is 10408357. The reversal of 10408352 is 25380401.

It can be written as a sum of positive squares in 2 ways, for example, as 9709456 + 698896 = 3116^2 + 836^2 .

It is not an unprimeable number, because it can be changed into a prime (10408357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196358 + ... + 196410.

Almost surely, 2^10408352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10408352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11665458).

10408352 is an abundant number, since it is smaller than the sum of its proper divisors (12922564).

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

10408352 is a wasteful number, since it uses less digits than its factorization.

10408352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 10408352 is about 3226.1977620723. The cubic root of 10408352 is about 218.3369924734.

Adding to 10408352 its reverse (25380401), we get a palindrome (35788753).

The spelling of 10408352 in words is "ten million, four hundred eight thousand, three hundred fifty-two".