418121296 has 40 divisors (see below), whose sum is σ = 856552320. Its totient is φ = 197174016.

The previous prime is 418121287. The next prime is 418121299. The reversal of 418121296 is 692121814.

It is a happy number.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418121299) 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 7 ways as a sum of consecutive naturals, for example, 67881 + ... + 73783.

It is an arithmetic number, because the mean of its divisors is an integer number (21413808).

Almost surely, 2^418121296 is an apocalyptic number.

418121296 is the 11806-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418121296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428276160).

418121296 is an abundant number, since it is smaller than the sum of its proper divisors (438431024).

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

418121296 is a wasteful number, since it uses less digits than its factorization.

418121296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6163 (or 6157 counting only the distinct ones).

The product of its digits is 6912, while the sum is 34.

The square root of 418121296 is about 20448.0144757382. The cubic root of 418121296 is about 747.7689526325.

The spelling of 418121296 in words is "four hundred eighteen million, one hundred twenty-one thousand, two hundred ninety-six".