123433416 has 64 divisors (see below), whose sum is σ = 344275200. Its totient is φ = 40976064.

The previous prime is 123433393. The next prime is 123433417. The reversal of 123433416 is 614334321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 123433416.

It is not an unprimeable number, because it can be changed into a prime (123433417) 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, 58801 + ... + 60863.

It is an arithmetic number, because the mean of its divisors is an integer number (5379300).

Almost surely, 2^123433416 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 123433416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172137600).

123433416 is an abundant number, since it is smaller than the sum of its proper divisors (220841784).

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

123433416 is a wasteful number, since it uses less digits than its factorization.

123433416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2345 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 123433416 is about 11110.0592257647. The cubic root of 123433416 is about 497.9024340728.

Adding to 123433416 its reverse (614334321), we get a palindrome (737767737).

The spelling of 123433416 in words is "one hundred twenty-three million, four hundred thirty-three thousand, four hundred sixteen".