411479040 has 352 divisors, whose sum is σ = 1556375040. Its totient is φ = 90832896.

The previous prime is 411479023. The next prime is 411479051. The reversal of 411479040 is 40974114.

411479040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 411478989 and 411479007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4623316 + ... + 4623404.

It is an arithmetic number, because the mean of its divisors is an integer number (4421520).

Almost surely, 2^411479040 is an apocalyptic number.

411479040 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 411479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778187520).

411479040 is an abundant number, since it is smaller than the sum of its proper divisors (1144896000).

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

411479040 is a wasteful number, since it uses less digits than its factorization.

411479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 411479040 is about 20284.9461423983. The cubic root of 411479040 is about 743.7881232724.

The spelling of 411479040 in words is "four hundred eleven million, four hundred seventy-nine thousand, forty".