415068948 has 240 divisors, whose sum is σ = 1323759360. Its totient is φ = 110854656.

The previous prime is 415068937. The next prime is 415068961. The reversal of 415068948 is 849860514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3807918 + ... + 3808026.

It is an arithmetic number, because the mean of its divisors is an integer number (5515664).

Almost surely, 2^415068948 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 415068948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661879680).

415068948 is an abundant number, since it is smaller than the sum of its proper divisors (908690412).

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

415068948 is a wasteful number, since it uses less digits than its factorization.

415068948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 415068948 is about 20373.2409792846. The cubic root of 415068948 is about 745.9448983828.

The spelling of 415068948 in words is "four hundred fifteen million, sixty-eight thousand, nine hundred forty-eight".