417632 has 24 divisors (see below), whose sum is σ = 850752. Its totient is φ = 201600.

The previous prime is 417631. The next prime is 417643. The reversal of 417632 is 236714.

It is a super-4 number, since 4×417632⁴ (a number of 24 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 417598 and 417607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 782 + ... + 1202.

It is an arithmetic number, because the mean of its divisors is an integer number (35448).

2⁴¹⁷⁶³² 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 417632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425376).

417632 is an abundant number, since it is smaller than the sum of its proper divisors (433120).

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

417632 is a wasteful number, since it uses less digits than its factorization.

417632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 417632 is about 646.2445357603. The cubic root of 417632 is about 74.7477152801.

The spelling of 417632 in words is "four hundred seventeen thousand, six hundred thirty-two".