409736916 has 18 divisors (see below), whose sum is σ = 1035723962. Its totient is φ = 136578960.

The previous prime is 409736909. The next prime is 409736917. The reversal of 409736916 is 619637904.

It can be written as a sum of positive squares in only one way, i.e., 399200400 + 10536516 = 19980^2 + 3246^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409736917) 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 5 ways as a sum of consecutive naturals, for example, 5690755 + ... + 5690826.

Almost surely, 2^409736916 is an apocalyptic number.

It is an amenable number.

409736916 is an abundant number, since it is smaller than the sum of its proper divisors (625987046).

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

409736916 is a wasteful number, since it uses less digits than its factorization.

409736916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11381591 (or 11381586 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 409736916 is about 20241.9592925191. The cubic root of 409736916 is about 742.7369525681.

The spelling of 409736916 in words is "four hundred nine million, seven hundred thirty-six thousand, nine hundred sixteen".