409079520 has 72 divisors (see below), whose sum is σ = 1395988776. Its totient is φ = 109087488.

The previous prime is 409079501. The next prime is 409079521. The reversal of 409079520 is 25970904.

409079520 is a `hidden beast` number, since 40 + 90 + 7 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409079521) 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 11 ways as a sum of consecutive naturals, for example, 140602 + ... + 143481.

It is an arithmetic number, because the mean of its divisors is an integer number (19388733).

Almost surely, 2^409079520 is an apocalyptic number.

409079520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409079520 is an abundant number, since it is smaller than the sum of its proper divisors (986909256).

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

409079520 is a wasteful number, since it uses less digits than its factorization.

409079520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284104 (or 284093 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 409079520 is about 20225.7143260751. The cubic root of 409079520 is about 742.3395157014.

The spelling of 409079520 in words is "four hundred nine million, seventy-nine thousand, five hundred twenty".