409640832 has 48 divisors (see below), whose sum is σ = 1178787480. Its totient is φ = 136546560.

The previous prime is 409640827. The next prime is 409640867. The reversal of 409640832 is 238046904.

It is a happy number.

409640832 is a `hidden beast` number, since 4 + 0 + 9 + 640 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×409640832² = 335611222483304448, which contains 22 as substring.

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

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 176644 + ... + 178947.

Almost surely, 2^409640832 is an apocalyptic number.

It is an amenable number.

409640832 is an abundant number, since it is smaller than the sum of its proper divisors (769146648).

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

409640832 is a wasteful number, since it uses less digits than its factorization.

409640832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355611 (or 355596 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 409640832 is about 20239.5857665121. The cubic root of 409640832 is about 742.6788903387.

The spelling of 409640832 in words is "four hundred nine million, six hundred forty thousand, eight hundred thirty-two".