417172032 has 70 divisors (see below), whose sum is σ = 1236643958. Its totient is φ = 139055616.

The previous prime is 417171983. The next prime is 417172039. The reversal of 417172032 is 230271714.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 372335616 + 44836416 = 19296^2 + 6696^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 417171987 and 417172005.

It is not an unprimeable number, because it can be changed into a prime (417172039) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 35053 + ... + 45420.

Almost surely, 2^417172032 is an apocalyptic number.

It is an amenable number.

417172032 is an abundant number, since it is smaller than the sum of its proper divisors (819471926).

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

417172032 is an equidigital number, since it uses as much as digits as its factorization.

417172032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80497 (or 80478 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 417172032 is about 20424.7896439596. The cubic root of 417172032 is about 747.2026353063.

The spelling of 417172032 in words is "four hundred seventeen million, one hundred seventy-two thousand, thirty-two".