409491936 has 144 divisors (see below), whose sum is σ = 1380322944. Its totient is φ = 116982144.

The previous prime is 409491877. The next prime is 409491941. The reversal of 409491936 is 639194904.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 409491891 and 409491900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50671 + ... + 58193.

It is an arithmetic number, because the mean of its divisors is an integer number (9585576).

Almost surely, 2^409491936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409491936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690161472).

409491936 is an abundant number, since it is smaller than the sum of its proper divisors (970831008).

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

409491936 is an equidigital number, since it uses as much as digits as its factorization.

409491936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7555 (or 7535 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 409491936 is about 20235.9070960508. The cubic root of 409491936 is about 742.5888966107.

The spelling of 409491936 in words is "four hundred nine million, four hundred ninety-one thousand, nine hundred thirty-six".