415253344968 has 384 divisors, whose sum is σ = 1412236800000. Its totient is φ = 107086095360.

The previous prime is 415253344937. The next prime is 415253344999. The reversal of 415253344968 is 869443352514.

It is a happy number.

415253344968 is a `hidden beast` number, since 4 + 1 + 5 + 2 + 533 + 4 + 49 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (415253344937) and next prime (415253344999).

It is a super-2 number, since 2×415253344968² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 832170783 + ... + 832171281.

It is an arithmetic number, because the mean of its divisors is an integer number (3677700000).

Almost surely, 2^415253344968 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 415253344968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706118400000).

415253344968 is an abundant number, since it is smaller than the sum of its proper divisors (996983455032).

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

415253344968 is a wasteful number, since it uses less digits than its factorization.

415253344968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1298 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 415253344968 in words is "four hundred fifteen billion, two hundred fifty-three million, three hundred forty-four thousand, nine hundred sixty-eight".