409615040 has 56 divisors (see below), whose sum is σ = 977841072. Its totient is φ = 163435520.

The previous prime is 409615007. The next prime is 409615093. The reversal of 409615040 is 40516904.

It is a junction number, because it is equal to n+sod(n) for n = 409614994 and 409615012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148070 + ... + 150810.

Almost surely, 2^409615040 is an apocalyptic number.

409615040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488920536).

409615040 is an abundant number, since it is smaller than the sum of its proper divisors (568226032).

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

409615040 is a wasteful number, since it uses less digits than its factorization.

409615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 409615040 is about 20238.9485892919. The cubic root of 409615040 is about 742.6633030449.

The spelling of 409615040 in words is "four hundred nine million, six hundred fifteen thousand, forty".