416477200464 has 240 divisors, whose sum is σ = 1378729672320. Its totient is φ = 116123673600.

The previous prime is 416477200453. The next prime is 416477200499. The reversal of 416477200464 is 464002774614.

It is a happy number.

416477200464 is a `hidden beast` number, since 4 + 164 + 7 + 7 + 20 + 0 + 464 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563514 + ... + 1072614.

It is an arithmetic number, because the mean of its divisors is an integer number (5744706968).

Almost surely, 2^416477200464 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 416477200464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689364836160).

416477200464 is an abundant number, since it is smaller than the sum of its proper divisors (962252471856).

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

416477200464 is a wasteful number, since it uses less digits than its factorization.

416477200464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509170 (or 509161 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 416477200464 in words is "four hundred sixteen billion, four hundred seventy-seven million, two hundred thousand, four hundred sixty-four".