411431940 has 96 divisors (see below), whose sum is σ = 1285320960. Its totient is φ = 109260288.

The previous prime is 411431899. The next prime is 411431953. The reversal of 411431940 is 49134114.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 140572 + ... + 143468.

It is an arithmetic number, because the mean of its divisors is an integer number (13388760).

Almost surely, 2^411431940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411431940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642660480).

411431940 is an abundant number, since it is smaller than the sum of its proper divisors (873889020).

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

411431940 is a wasteful number, since it uses less digits than its factorization.

411431940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 411431940 is about 20283.7851497200. The cubic root of 411431940 is about 743.7597429225.

The spelling of 411431940 in words is "four hundred eleven million, four hundred thirty-one thousand, nine hundred forty".