409630032 has 120 divisors (see below), whose sum is σ = 1352532480. Its totient is φ = 113253120.

The previous prime is 409630031. The next prime is 409630049. The reversal of 409630032 is 230036904.

It is a junction number, because it is equal to n+sod(n) for n = 409629978 and 409630005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409630031) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24694 + ... + 37802.

It is an arithmetic number, because the mean of its divisors is an integer number (11271104).

Almost surely, 2^409630032 is an apocalyptic number.

409630032 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 409630032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676266240).

409630032 is an abundant number, since it is smaller than the sum of its proper divisors (942902448).

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

409630032 is a wasteful number, since it uses less digits than its factorization.

409630032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13161 (or 13152 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 409630032 is about 20239.3189608742. The cubic root of 409630032 is about 742.6723634808.

Adding to 409630032 its reverse (230036904), we get a palindrome (639666936).

The spelling of 409630032 in words is "four hundred nine million, six hundred thirty thousand, thirty-two".