411671040 has 240 divisors, whose sum is σ = 1449844704. Its totient is φ = 99573760.

The previous prime is 411671033. The next prime is 411671063. The reversal of 411671040 is 40176114.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 411671040.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 929059 + ... + 929501.

Almost surely, 2^411671040 is an apocalyptic number.

411671040 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 411671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724922352).

411671040 is an abundant number, since it is smaller than the sum of its proper divisors (1038173664).

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

411671040 is a wasteful number, since it uses less digits than its factorization.

411671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 411671040 is about 20289.6781640321. The cubic root of 411671040 is about 743.9037914675.

The spelling of 411671040 in words is "four hundred eleven million, six hundred seventy-one thousand, forty".