411006624 has 96 divisors (see below), whose sum is σ = 1239799680. Its totient is φ = 116785152.

The previous prime is 411006611. The next prime is 411006677. The reversal of 411006624 is 426600114.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 411006594 and 411006603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128112 + ... + 131280.

It is an arithmetic number, because the mean of its divisors is an integer number (12914580).

Almost surely, 2^411006624 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 411006624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619899840).

411006624 is an abundant number, since it is smaller than the sum of its proper divisors (828793056).

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

411006624 is a wasteful number, since it uses less digits than its factorization.

411006624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 411006624 is about 20273.2983009672. The cubic root of 411006624 is about 743.5033684141.

Adding to 411006624 its reverse (426600114), we get a palindrome (837606738).

The spelling of 411006624 in words is "four hundred eleven million, six thousand, six hundred twenty-four".