409342536 has 96 divisors (see below), whose sum is σ = 1183260000. Its totient is φ = 127464192.

The previous prime is 409342501. The next prime is 409342537. The reversal of 409342536 is 635243904.

It is a super-2 number, since 2×409342536² = 335122623557822592, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 409342536.

It is not an unprimeable number, because it can be changed into a prime (409342537) 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, 97815 + ... + 101913.

It is an arithmetic number, because the mean of its divisors is an integer number (12325625).

Almost surely, 2^409342536 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 409342536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591630000).

409342536 is an abundant number, since it is smaller than the sum of its proper divisors (773917464).

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

409342536 is a wasteful number, since it uses less digits than its factorization.

409342536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4203 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 409342536 is about 20232.2153013455. The cubic root of 409342536 is about 742.4985763330.

The spelling of 409342536 in words is "four hundred nine million, three hundred forty-two thousand, five hundred thirty-six".