123825408 has 144 divisors (see below), whose sum is σ = 389308416. Its totient is φ = 34191360.

The previous prime is 123825391. The next prime is 123825409. The reversal of 123825408 is 804528321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123825409) 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 15 ways as a sum of consecutive naturals, for example, 166285 + ... + 167027.

Almost surely, 2^123825408 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 123825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194654208).

123825408 is an abundant number, since it is smaller than the sum of its proper divisors (265483008).

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

123825408 is an equidigital number, since it uses as much as digits as its factorization.

123825408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 123825408 is about 11127.6865520197. The cubic root of 123825408 is about 498.4289460828.

The spelling of 123825408 in words is "one hundred twenty-three million, eight hundred twenty-five thousand, four hundred eight".