411747840 has 640 divisors, whose sum is σ = 1791313920. Its totient is φ = 87588864.

The previous prime is 411747839. The next prime is 411747881. The reversal of 411747840 is 48747114.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 411747795 and 411747804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11128302 + ... + 11128338.

It is an arithmetic number, because the mean of its divisors is an integer number (2798928).

Almost surely, 2^411747840 is an apocalyptic number.

411747840 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 411747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895656960).

411747840 is an abundant number, since it is smaller than the sum of its proper divisors (1379566080).

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

411747840 is a wasteful number, since it uses less digits than its factorization.

411747840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 411747840 is about 20291.5706637017. The cubic root of 411747840 is about 743.9500486755.

The spelling of 411747840 in words is "four hundred eleven million, seven hundred forty-seven thousand, eight hundred forty".