416789030464 has 189 divisors, whose sum is σ = 906645176419. Its totient is φ = 190062284800.

The previous prime is 416789030461. The next prime is 416789030507. The reversal of 416789030464 is 464030987614.

The square root of 416789030464 is 645592.

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

It can be written as a sum of positive squares in 4 ways, for example, as 248203240000 + 168585790464 = 498200^2 + 410592^2 .

It is a super-2 number, since 2×416789030464² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416789030461) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4126624014 + ... + 4126624114.

Almost surely, 2^416789030464 is an apocalyptic number.

416789030464 is the 645592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416789030464

416789030464 is an abundant number, since it is smaller than the sum of its proper divisors (489856145955).

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

416789030464 is an equidigital number, since it uses as much as digits as its factorization.

416789030464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 416789030464 in words is "four hundred sixteen billion, seven hundred eighty-nine million, thirty thousand, four hundred sixty-four".