474459216100 has 27 divisors (see below), whose sum is σ = 1029591446331. Its totient is φ = 189780931200.

The previous prime is 474459216071. The next prime is 474459216107. The reversal of 474459216100 is 1612954474.

The square root of 474459216100 is 688810.

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 276249052836 + 198210163264 = 525594^2 + 445208^2 .

It is a super-2 number, since 2×474459216100² (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 (474459216107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6853660 + ... + 6922540.

Almost surely, 2^474459216100 is an apocalyptic number.

474459216100 is the 688810-th square number.

It is an amenable number.

474459216100 is an abundant number, since it is smaller than the sum of its proper divisors (555132230231).

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

474459216100 is an frugal number, since it uses more digits than its factorization.

474459216100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137776 (or 68888 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 474459216100 in words is "four hundred seventy-four billion, four hundred fifty-nine million, two hundred sixteen thousand, one hundred".