416303525456 has 160 divisors (see below), whose sum is σ = 1009060416000. Its totient is φ = 161992212480.

The previous prime is 416303525431. The next prime is 416303525459. The reversal of 416303525456 is 654525303614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416303525459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46411340 + ... + 46420308.

It is an arithmetic number, because the mean of its divisors is an integer number (6306627600).

Almost surely, 2^416303525456 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 416303525456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504530208000).

416303525456 is an abundant number, since it is smaller than the sum of its proper divisors (592756890544).

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

416303525456 is a wasteful number, since it uses less digits than its factorization.

416303525456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9517 (or 9511 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 44.

The spelling of 416303525456 in words is "four hundred sixteen billion, three hundred three million, five hundred twenty-five thousand, four hundred fifty-six".