416472704 has 48 divisors (see below), whose sum is σ = 875755170. Its totient is φ = 197254656.

The previous prime is 416472691. The next prime is 416472709. The reversal of 416472704 is 407274614.

It can be written as a sum of positive squares in only one way, i.e., 361000000 + 55472704 = 19000^2 + 7448^2 .

It is not an unprimeable number, because it can be changed into a prime (416472709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41702 + ... + 50714.

Almost surely, 2^416472704 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 416472704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437877585).

416472704 is an abundant number, since it is smaller than the sum of its proper divisors (459282466).

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

416472704 is an equidigital number, since it uses as much as digits as its factorization.

416472704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9065 (or 9034 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 416472704 is about 20407.6628745185. The cubic root of 416472704 is about 746.7848764092.

The spelling of 416472704 in words is "four hundred sixteen million, four hundred seventy-two thousand, seven hundred four".