409873240 has 96 divisors (see below), whose sum is σ = 1109926800. Its totient is φ = 135663360.

The previous prime is 409873231. The next prime is 409873249. The reversal of 409873240 is 42378904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (409873231) and next prime (409873249).

It is a self number, because there is not a number n which added to its sum of digits gives 409873240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409873249) 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, 53235 + ... + 60445.

Almost surely, 2^409873240 is an apocalyptic number.

409873240 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 409873240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554963400).

409873240 is an abundant number, since it is smaller than the sum of its proper divisors (700053560).

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

409873240 is a wasteful number, since it uses less digits than its factorization.

409873240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7265 (or 7254 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 409873240 is about 20245.3263742524. The cubic root of 409873240 is about 742.8193156985.

The spelling of 409873240 in words is "four hundred nine million, eight hundred seventy-three thousand, two hundred forty".