415291968 has 448 divisors, whose sum is σ = 1593088000. Its totient is φ = 103016448.

The previous prime is 415291967. The next prime is 415291999. The reversal of 415291968 is 869192514.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415291967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2987643 + ... + 2987781.

It is an arithmetic number, because the mean of its divisors is an integer number (3556000).

Almost surely, 2^415291968 is an apocalyptic number.

415291968 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 415291968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796544000).

415291968 is an abundant number, since it is smaller than the sum of its proper divisors (1177796032).

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

415291968 is a wasteful number, since it uses less digits than its factorization.

415291968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 415291968 is about 20378.7136002251. The cubic root of 415291968 is about 746.0784752622.

The spelling of 415291968 in words is "four hundred fifteen million, two hundred ninety-one thousand, nine hundred sixty-eight".