417621672 has 192 divisors, whose sum is σ = 1339228800. Its totient is φ = 116328960.

The previous prime is 417621629. The next prime is 417621703. The reversal of 417621672 is 276126714.

It is a super-3 number, since 3×417621672³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 408522 + ... + 409542.

It is an arithmetic number, because the mean of its divisors is an integer number (6975150).

Almost surely, 2^417621672 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 417621672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669614400).

417621672 is an abundant number, since it is smaller than the sum of its proper divisors (921607128).

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

417621672 is a wasteful number, since it uses less digits than its factorization.

417621672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1081 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 417621672 is about 20435.7938920904. The cubic root of 417621672 is about 747.4709910704.

It can be divided in two parts, 41762 and 1672, that added together give a palindrome (43434).

The spelling of 417621672 in words is "four hundred seventeen million, six hundred twenty-one thousand, six hundred seventy-two".