409162752 has 110 divisors (see below), whose sum is σ = 1222087658. Its totient is φ = 136359936.

The previous prime is 409162751. The next prime is 409162753. The reversal of 409162752 is 257261904.

It is an interprime number because it is at equal distance from previous prime (409162751) and next prime (409162753).

It can be written as a sum of positive squares in only one way, i.e., 318836736 + 90326016 = 17856^2 + 9504^2 .

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 (409162751) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 80478 + ... + 85410.

Almost surely, 2^409162752 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 409162752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611043829).

409162752 is an abundant number, since it is smaller than the sum of its proper divisors (812924906).

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

409162752 is an equidigital number, since it uses as much as digits as its factorization.

409162752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4965 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 409162752 is about 20227.7718001761. The cubic root of 409162752 is about 742.3898581651.

The spelling of 409162752 in words is "four hundred nine million, one hundred sixty-two thousand, seven hundred fifty-two".