409535712 has 144 divisors (see below), whose sum is σ = 1241866080. Its totient is φ = 127574016.

The previous prime is 409535683. The next prime is 409535719. The reversal of 409535712 is 217535904.

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

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 (409535719) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1140589 + ... + 1140947.

It is an arithmetic number, because the mean of its divisors is an integer number (8624070).

Almost surely, 2^409535712 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 409535712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620933040).

409535712 is an abundant number, since it is smaller than the sum of its proper divisors (832330368).

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

409535712 is a wasteful number, since it uses less digits than its factorization.

409535712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 409535712 is about 20236.9887087976. The cubic root of 409535712 is about 742.6153573786.

It can be divided in two parts, 40953 and 5712, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 409535712 in words is "four hundred nine million, five hundred thirty-five thousand, seven hundred twelve".