417382272 has 96 divisors (see below), whose sum is σ = 1264341000. Its totient is φ = 131798016.

The previous prime is 417382247. The next prime is 417382279. The reversal of 417382272 is 272283714.

417382272 is a `hidden beast` number, since 4 + 1 + 7 + 382 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417382279) 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 11 ways as a sum of consecutive naturals, for example, 12354 + ... + 31422.

Almost surely, 2^417382272 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 417382272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632170500).

417382272 is an abundant number, since it is smaller than the sum of its proper divisors (846958728).

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

417382272 is a wasteful number, since it uses less digits than its factorization.

417382272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19108 (or 19093 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 417382272 is about 20429.9356827181. The cubic root of 417382272 is about 747.3281354899.

The spelling of 417382272 in words is "four hundred seventeen million, three hundred eighty-two thousand, two hundred seventy-two".