415948608 has 280 divisors, whose sum is σ = 1342461120. Its totient is φ = 126904320.

The previous prime is 415948591. The next prime is 415948609. The reversal of 415948608 is 806849514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415948609) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4038285 + ... + 4038387.

It is an arithmetic number, because the mean of its divisors is an integer number (4794504).

Almost surely, 2^415948608 is an apocalyptic number.

415948608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415948608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671230560).

415948608 is an abundant number, since it is smaller than the sum of its proper divisors (926512512).

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

415948608 is a wasteful number, since it uses less digits than its factorization.

415948608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

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

The square root of 415948608 is about 20394.8181654066. The cubic root of 415948608 is about 746.4714895184.

The spelling of 415948608 in words is "four hundred fifteen million, nine hundred forty-eight thousand, six hundred eight".