409248440 has 32 divisors (see below), whose sum is σ = 932472000. Its totient is φ = 161625984.

The previous prime is 409248403. The next prime is 409248449. The reversal of 409248440 is 44842904.

It is a self number, because there is not a number n which added to its sum of digits gives 409248440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409248449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61595 + ... + 67914.

It is an arithmetic number, because the mean of its divisors is an integer number (29139750).

Almost surely, 2^409248440 is an apocalyptic number.

409248440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409248440 is an abundant number, since it is smaller than the sum of its proper divisors (523223560).

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

409248440 is a wasteful number, since it uses less digits than its factorization.

409248440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129599 (or 129595 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 409248440 is about 20229.8897673714. The cubic root of 409248440 is about 742.4416789965.

The spelling of 409248440 in words is "four hundred nine million, two hundred forty-eight thousand, four hundred forty".