416733473620 has 72 divisors (see below), whose sum is σ = 915614040600. Its totient is φ = 159135212544.

The previous prime is 416733473609. The next prime is 416733473621. The reversal of 416733473620 is 26374337614.

It can be written as a sum of positive squares in 12 ways, for example, as 116589468304 + 300144005316 = 341452^2 + 547854^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416733473621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4548826 + ... + 4639534.

It is an arithmetic number, because the mean of its divisors is an integer number (12716861675).

Almost surely, 2^416733473620 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 416733473620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457807020300).

416733473620 is an abundant number, since it is smaller than the sum of its proper divisors (498880566980).

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

416733473620 is a wasteful number, since it uses less digits than its factorization.

416733473620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90925 (or 90834 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 46.

The spelling of 416733473620 in words is "four hundred sixteen billion, seven hundred thirty-three million, four hundred seventy-three thousand, six hundred twenty".