416279247048 has 384 divisors, whose sum is σ = 1360725350400. Its totient is φ = 112463769600.

The previous prime is 416279246951. The next prime is 416279247073. The reversal of 416279247048 is 840742972614.

416279247048 is a `hidden beast` number, since 4 + 1 + 62 + 79 + 2 + 470 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 416279246985 and 416279247003.

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, 232687338 + ... + 232689126.

It is an arithmetic number, because the mean of its divisors is an integer number (3543555600).

Almost surely, 2^416279247048 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 416279247048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680362675200).

416279247048 is an abundant number, since it is smaller than the sum of its proper divisors (944446103352).

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

416279247048 is a wasteful number, since it uses less digits than its factorization.

416279247048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 416279247048 in words is "four hundred sixteen billion, two hundred seventy-nine million, two hundred forty-seven thousand, forty-eight".