414861132 has 96 divisors (see below), whose sum is σ = 1176118272. Its totient is φ = 111108096.

The previous prime is 414861107. The next prime is 414861133. The reversal of 414861132 is 231168414.

It is a self number, because there is not a number n which added to its sum of digits gives 414861132.

It is not an unprimeable number, because it can be changed into a prime (414861133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503673 + ... + 504495.

It is an arithmetic number, because the mean of its divisors is an integer number (12251232).

Almost surely, 2^414861132 is an apocalyptic number.

414861132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414861132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588059136).

414861132 is an abundant number, since it is smaller than the sum of its proper divisors (761257140).

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

414861132 is a wasteful number, since it uses less digits than its factorization.

414861132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1205 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 414861132 is about 20368.1401212776. The cubic root of 414861132 is about 745.8203848013.

The spelling of 414861132 in words is "four hundred fourteen million, eight hundred sixty-one thousand, one hundred thirty-two".