411387840 has 168 divisors, whose sum is σ = 1432883088. Its totient is φ = 108318720.

The previous prime is 411387817. The next prime is 411387857. The reversal of 411387840 is 48783114.

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 = 411387795 and 411387804.

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 23 ways as a sum of consecutive naturals, for example, 238180 + ... + 239900.

It is an arithmetic number, because the mean of its divisors is an integer number (8529066).

Almost surely, 2^411387840 is an apocalyptic number.

411387840 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 411387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716441544).

411387840 is an abundant number, since it is smaller than the sum of its proper divisors (1021495248).

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

411387840 is a wasteful number, since it uses less digits than its factorization.

411387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 411387840 is about 20282.6980453785. The cubic root of 411387840 is about 743.7331682748.

The spelling of 411387840 in words is "four hundred eleven million, three hundred eighty-seven thousand, eight hundred forty".