409234080 has 96 divisors (see below), whose sum is σ = 1333584000. Its totient is φ = 105362432.

The previous prime is 409234061. The next prime is 409234087. The reversal of 409234080 is 80432904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (409234087) 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 15 ways as a sum of consecutive naturals, for example, 780 + ... + 28619.

It is an arithmetic number, because the mean of its divisors is an integer number (13891500).

Almost surely, 2^409234080 is an apocalyptic number.

409234080 is a gapful number since it is divisible by the number (40) 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 409234080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666792000).

409234080 is an abundant number, since it is smaller than the sum of its proper divisors (924349920).

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

409234080 is a wasteful number, since it uses less digits than its factorization.

409234080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29446 (or 29438 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 409234080 is about 20229.5348438861. The cubic root of 409234080 is about 742.4329951212.

Adding to 409234080 its reverse (80432904), we get a palindrome (489666984).

The spelling of 409234080 in words is "four hundred nine million, two hundred thirty-four thousand, eighty".