409265136 has 200 divisors, whose sum is σ = 1366564320. Its totient is φ = 115831296.

The previous prime is 409265093. The next prime is 409265141. The reversal of 409265136 is 631562904.

It is a happy number.

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 409265136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1787070 + ... + 1787298.

Almost surely, 2^409265136 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 409265136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683282160).

409265136 is an abundant number, since it is smaller than the sum of its proper divisors (957299184).

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

409265136 is a wasteful number, since it uses less digits than its factorization.

409265136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 409265136 is about 20230.3024198849. The cubic root of 409265136 is about 742.4517752579.

The spelling of 409265136 in words is "four hundred nine million, two hundred sixty-five thousand, one hundred thirty-six".