409847040 has 360 divisors, whose sum is σ = 1513622880. Its totient is φ = 105836544.

The previous prime is 409847027. The next prime is 409847059. The reversal of 409847040 is 40748904.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 409846986 and 409847004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6117087 + ... + 6117153.

It is an arithmetic number, because the mean of its divisors is an integer number (4204508).

Almost surely, 2^409847040 is an apocalyptic number.

409847040 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 409847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756811440).

409847040 is an abundant number, since it is smaller than the sum of its proper divisors (1103775840).

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

409847040 is an equidigital number, since it uses as much as digits as its factorization.

409847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 409847040 is about 20244.6793009917. The cubic root of 409847040 is about 742.8034878125.

The spelling of 409847040 in words is "four hundred nine million, eight hundred forty-seven thousand, forty".