409050432 has 168 divisors, whose sum is σ = 1399153920. Its totient is φ = 116847360.

The previous prime is 409050431. The next prime is 409050479. The reversal of 409050432 is 234050904.

409050432 is a `hidden beast` number, since 40 + 90 + 504 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 409050396 and 409050405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409050431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82257 + ... + 87087.

Almost surely, 2^409050432 is an apocalyptic number.

409050432 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 409050432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699576960).

409050432 is an abundant number, since it is smaller than the sum of its proper divisors (990103488).

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

409050432 is a wasteful number, since it uses less digits than its factorization.

409050432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866 (or 4843 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 409050432 is about 20224.9952286768. The cubic root of 409050432 is about 742.3219203582.

The spelling of 409050432 in words is "four hundred nine million, fifty thousand, four hundred thirty-two".