409691304 has 128 divisors (see below), whose sum is σ = 1248048000. Its totient is φ = 123494400.

The previous prime is 409691291. The next prime is 409691309. The reversal of 409691304 is 403196904.

It is a super-3 number, since 3×409691304³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (409691309) 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, 638824 + ... + 639464.

It is an arithmetic number, because the mean of its divisors is an integer number (9750375).

Almost surely, 2^409691304 is an apocalyptic number.

409691304 is a gapful number since it is divisible by the number (44) 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 409691304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624024000).

409691304 is an abundant number, since it is smaller than the sum of its proper divisors (838356696).

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

409691304 is a wasteful number, since it uses less digits than its factorization.

409691304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 409691304 is about 20240.8325915709. The cubic root of 409691304 is about 742.7093910006.

The spelling of 409691304 in words is "four hundred nine million, six hundred ninety-one thousand, three hundred four".