415795968 has 324 divisors, whose sum is σ = 1454019840. Its totient is φ = 113799168.

The previous prime is 415795949. The next prime is 415795969. The reversal of 415795968 is 869597514.

415795968 is a `hidden beast` number, since 4 + 1 + 579 + 5 + 9 + 68 = 666.

Its product of digits (2721600) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (415795969) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3273921 + ... + 3274047.

Almost surely, 2^415795968 is an apocalyptic number.

415795968 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 415795968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727009920).

415795968 is an abundant number, since it is smaller than the sum of its proper divisors (1038223872).

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

415795968 is a wasteful number, since it uses less digits than its factorization.

415795968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 415795968 is about 20391.0756950191. The cubic root of 415795968 is about 746.3801678612.

The spelling of 415795968 in words is "four hundred fifteen million, seven hundred ninety-five thousand, nine hundred sixty-eight".