414555432 has 64 divisors (see below), whose sum is σ = 1069178880. Its totient is φ = 133866432.

The previous prime is 414555403. The next prime is 414555443. The reversal of 414555432 is 234555414.

It is a junction number, because it is equal to n+sod(n) for n = 414555393 and 414555402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129483 + ... + 132645.

It is an arithmetic number, because the mean of its divisors is an integer number (16705920).

Almost surely, 2^414555432 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 414555432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534589440).

414555432 is an abundant number, since it is smaller than the sum of its proper divisors (654623448).

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

414555432 is a wasteful number, since it uses less digits than its factorization.

414555432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3338 counting only the distinct ones).

The product of its digits is 48000, while the sum is 33.

The square root of 414555432 is about 20360.6343712567. The cubic root of 414555432 is about 745.6371481319.

The spelling of 414555432 in words is "four hundred fourteen million, five hundred fifty-five thousand, four hundred thirty-two".