415182132 has 96 divisors (see below), whose sum is σ = 1117670400. Its totient is φ = 133142400.

The previous prime is 415182127. The next prime is 415182137. The reversal of 415182132 is 231281514.

It is an interprime number because it is at equal distance from previous prime (415182127) and next prime (415182137).

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 = 415182096 and 415182105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415182137) 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, 900382 + ... + 900842.

It is an arithmetic number, because the mean of its divisors is an integer number (11642400).

Almost surely, 2^415182132 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 415182132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558835200).

415182132 is an abundant number, since it is smaller than the sum of its proper divisors (702488268).

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

415182132 is a wasteful number, since it uses less digits than its factorization.

415182132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 766 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 415182132 is about 20376.0185512283. The cubic root of 415182132 is about 746.0126954357.

The spelling of 415182132 in words is "four hundred fifteen million, one hundred eighty-two thousand, one hundred thirty-two".