409331460 has 96 divisors (see below), whose sum is σ = 1221599232. Its totient is φ = 102171520.

The previous prime is 409331399. The next prime is 409331467. The reversal of 409331460 is 64133904.

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 (409331467) 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 31 ways as a sum of consecutive naturals, for example, 61705 + ... + 68015.

It is an arithmetic number, because the mean of its divisors is an integer number (12724992).

Almost surely, 2^409331460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409331460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610799616).

409331460 is an abundant number, since it is smaller than the sum of its proper divisors (812267772).

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

409331460 is a wasteful number, since it uses less digits than its factorization.

409331460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6393 (or 6391 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 409331460 is about 20231.9415776143. The cubic root of 409331460 is about 742.4918794246.

It can be divided in two parts, 4093 and 31460, that added together give a palindrome (35553).

The spelling of 409331460 in words is "four hundred nine million, three hundred thirty-one thousand, four hundred sixty".