409680320 has 56 divisors (see below), whose sum is σ = 1114921824. Its totient is φ = 140461056.

The previous prime is 409680311. The next prime is 409680329. The reversal of 409680320 is 23086904.

It is an interprime number because it is at equal distance from previous prime (409680311) and next prime (409680329).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409680329) 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 7 ways as a sum of consecutive naturals, for example, 89207 + ... + 93686.

Almost surely, 2^409680320 is an apocalyptic number.

409680320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409680320 is an abundant number, since it is smaller than the sum of its proper divisors (705241504).

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

409680320 is a wasteful number, since it uses less digits than its factorization.

409680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182917 (or 182907 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 409680320 is about 20240.5612570403. The cubic root of 409680320 is about 742.7027534886.

The spelling of 409680320 in words is "four hundred nine million, six hundred eighty thousand, three hundred twenty".