411459840 has 432 divisors, whose sum is σ = 1652990976. Its totient is φ = 93388800.

The previous prime is 411459817. The next prime is 411459889. The reversal of 411459840 is 48954114.

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 = 411459795 and 411459804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2154145 + ... + 2154335.

It is an arithmetic number, because the mean of its divisors is an integer number (3826368).

Almost surely, 2^411459840 is an apocalyptic number.

411459840 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 411459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826495488).

411459840 is an abundant number, since it is smaller than the sum of its proper divisors (1241531136).

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

411459840 is a wasteful number, since it uses less digits than its factorization.

411459840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 411459840 is about 20284.4728795204. The cubic root of 411459840 is about 743.7765544741.

The spelling of 411459840 in words is "four hundred eleven million, four hundred fifty-nine thousand, eight hundred forty".