413775432 has 128 divisors (see below), whose sum is σ = 1319577600. Its totient is φ = 117681984.

The previous prime is 413775413. The next prime is 413775449. The reversal of 413775432 is 234577314.

413775432 is a `hidden beast` number, since 41 + 3 + 77 + 543 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427413 + ... + 428379.

It is an arithmetic number, because the mean of its divisors is an integer number (10309200).

Almost surely, 2^413775432 is an apocalyptic number.

413775432 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 413775432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659788800).

413775432 is an abundant number, since it is smaller than the sum of its proper divisors (905802168).

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

413775432 is a wasteful number, since it uses less digits than its factorization.

413775432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1262 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 413775432 is about 20341.4707432870. The cubic root of 413775432 is about 745.1692073958.

The spelling of 413775432 in words is "four hundred thirteen million, seven hundred seventy-five thousand, four hundred thirty-two".