417254249888 has 96 divisors (see below), whose sum is σ = 957975330816. Its totient is φ = 175185174528.

The previous prime is 417254249861. The next prime is 417254249989. The reversal of 417254249888 is 888942452714.

It is a happy number.

It is a super-2 number, since 2×417254249888² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 417254249888.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7963745 + ... + 8015967.

It is an arithmetic number, because the mean of its divisors is an integer number (9978909696).

Almost surely, 2^417254249888 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 417254249888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478987665408).

417254249888 is an abundant number, since it is smaller than the sum of its proper divisors (540721080928).

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

417254249888 is a wasteful number, since it uses less digits than its factorization.

417254249888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52966 (or 52958 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 62.

The spelling of 417254249888 in words is "four hundred seventeen billion, two hundred fifty-four million, two hundred forty-nine thousand, eight hundred eighty-eight".