409235240 has 64 divisors (see below), whose sum is σ = 962614800. Its totient is φ = 156377088.

The previous prime is 409235231. The next prime is 409235249. The reversal of 409235240 is 42532904.

It is an interprime number because it is at equal distance from previous prime (409235231) and next prime (409235249).

It can be written as a sum of positive squares in 8 ways, for example, as 59320804 + 349914436 = 7702^2 + 18706^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (409235249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110702 + ... + 114338.

Almost surely, 2^409235240 is an apocalyptic number.

409235240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409235240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481307400).

409235240 is an abundant number, since it is smaller than the sum of its proper divisors (553379560).

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

409235240 is a wasteful number, since it uses less digits than its factorization.

409235240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 409235240 is about 20229.5635148166. The cubic root of 409235240 is about 742.4336966117.

The spelling of 409235240 in words is "four hundred nine million, two hundred thirty-five thousand, two hundred forty".