411417952 has 96 divisors (see below), whose sum is σ = 943034400. Its totient is φ = 174612480.

The previous prime is 411417943. The next prime is 411417953. The reversal of 411417952 is 259714114.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411417953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1178674 + ... + 1179022.

It is an arithmetic number, because the mean of its divisors is an integer number (9823275).

Almost surely, 2^411417952 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 411417952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471517200).

411417952 is an abundant number, since it is smaller than the sum of its proper divisors (531616448).

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

411417952 is a wasteful number, since it uses less digits than its factorization.

411417952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 576 counting only the distinct ones).

The product of its digits is 10080, while the sum is 34.

The square root of 411417952 is about 20283.4403393507. The cubic root of 411417952 is about 743.7513139633.

The spelling of 411417952 in words is "four hundred eleven million, four hundred seventeen thousand, nine hundred fifty-two".