409780134 has 96 divisors (see below), whose sum is σ = 968647680. Its totient is φ = 129664800.

The previous prime is 409780123. The next prime is 409780139. The reversal of 409780134 is 431087904.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409780139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 888664 + ... + 889124.

It is an arithmetic number, because the mean of its divisors is an integer number (10090080).

Almost surely, 2^409780134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409780134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484323840).

409780134 is an abundant number, since it is smaller than the sum of its proper divisors (558867546).

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

409780134 is a wasteful number, since it uses less digits than its factorization.

409780134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 409780134 is about 20243.0267993697. The cubic root of 409780134 is about 742.7630656469.

The spelling of 409780134 in words is "four hundred nine million, seven hundred eighty thousand, one hundred thirty-four".