414303132 has 48 divisors (see below), whose sum is σ = 1029893760. Its totient is φ = 129250368.

The previous prime is 414303103. The next prime is 414303137. The reversal of 414303132 is 231303414.

It is a junction number, because it is equal to n+sod(n) for n = 414303099 and 414303108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414303137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7978 + ... + 29870.

It is an arithmetic number, because the mean of its divisors is an integer number (21456120).

Almost surely, 2^414303132 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 414303132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514946880).

414303132 is an abundant number, since it is smaller than the sum of its proper divisors (615590628).

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

414303132 is a wasteful number, since it uses less digits than its factorization.

414303132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22002 (or 22000 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 414303132 is about 20354.4376488273. The cubic root of 414303132 is about 745.4858515740.

Adding to 414303132 its reverse (231303414), we get a palindrome (645606546).

The spelling of 414303132 in words is "four hundred fourteen million, three hundred three thousand, one hundred thirty-two".