413532432 has 80 divisors (see below), whose sum is σ = 1190280960. Its totient is φ = 137462400.

The previous prime is 413532409. The next prime is 413532487. The reversal of 413532432 is 234235314.

413532432 is a `hidden beast` number, since 413 + 5 + 3 + 243 + 2 = 666.

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 = 413532396 and 413532405.

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, 185082 + ... + 187302.

It is an arithmetic number, because the mean of its divisors is an integer number (14878512).

Almost surely, 2^413532432 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 413532432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595140480).

413532432 is an abundant number, since it is smaller than the sum of its proper divisors (776748528).

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

413532432 is a wasteful number, since it uses less digits than its factorization.

413532432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 2657 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 413532432 is about 20335.4968466472. The cubic root of 413532432 is about 745.0233057286.

Adding to 413532432 its reverse (234235314), we get a palindrome (647767746).

The spelling of 413532432 in words is "four hundred thirteen million, five hundred thirty-two thousand, four hundred thirty-two".