409709680 has 40 divisors (see below), whose sum is σ = 985428000. Its totient is φ = 158231808.

The previous prime is 409709647. The next prime is 409709681. The reversal of 409709680 is 86907904.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409709681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85980 + ... + 90619.

It is an arithmetic number, because the mean of its divisors is an integer number (24635700).

Almost surely, 2^409709680 is an apocalyptic number.

409709680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409709680 is an abundant number, since it is smaller than the sum of its proper divisors (575718320).

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

409709680 is a wasteful number, since it uses less digits than its factorization.

409709680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176641 (or 176635 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 409709680 is about 20241.2865203771. The cubic root of 409709680 is about 742.7204951528.

The spelling of 409709680 in words is "four hundred nine million, seven hundred nine thousand, six hundred eighty".