409155432 has 128 divisors (see below), whose sum is σ = 1220140800. Its totient is φ = 111863808.

The previous prime is 409155431. The next prime is 409155433. The reversal of 409155432 is 234551904.

It is an interprime number because it is at equal distance from previous prime (409155431) and next prime (409155433).

It is a junction number, because it is equal to n+sod(n) for n = 409155393 and 409155402.

It is not an unprimeable number, because it can be changed into a prime (409155431) 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, 667158 + ... + 667770.

It is an arithmetic number, because the mean of its divisors is an integer number (9532350).

Almost surely, 2^409155432 is an apocalyptic number.

409155432 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 409155432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610070400).

409155432 is an abundant number, since it is smaller than the sum of its proper divisors (810985368).

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

409155432 is a wasteful number, since it uses less digits than its factorization.

409155432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 409155432 is about 20227.5908600110. The cubic root of 409155432 is about 742.3854309731.

The spelling of 409155432 in words is "four hundred nine million, one hundred fifty-five thousand, four hundred thirty-two".