416481785316 has 567 divisors, whose sum is σ = 1259144725419. Its totient is φ = 120438544896.

The previous prime is 416481785309. The next prime is 416481785339. The reversal of 416481785316 is 613587184614.

The square root of 416481785316 is 645354.

It is a perfect power (a square), and thus also a powerful number.

416481785316 is a `hidden beast` number, since 41 + 6 + 481 + 78 + 53 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 193735543716 + 222746241600 = 440154^2 + 471960^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3870720) is a multiple of the sum of its prime factors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 11256264450 + ... + 11256264486.

Almost surely, 2^416481785316 is an apocalyptic number.

416481785316 is the 645354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416481785316

416481785316 is an abundant number, since it is smaller than the sum of its proper divisors (842662940103).

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

416481785316 is a wasteful number, since it uses less digits than its factorization.

416481785316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 78 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 416481785316 in words is "four hundred sixteen billion, four hundred eighty-one million, seven hundred eighty-five thousand, three hundred sixteen".