411117630 has 384 divisors, whose sum is σ = 1422074880. Its totient is φ = 73543680.

The previous prime is 411117607. The next prime is 411117667. The reversal of 411117630 is 36711114.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 411117630.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 14176456 + ... + 14176484.

It is an arithmetic number, because the mean of its divisors is an integer number (3703320).

Almost surely, 2^411117630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411117630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711037440).

411117630 is an abundant number, since it is smaller than the sum of its proper divisors (1010957250).

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

411117630 is a wasteful number, since it uses less digits than its factorization.

411117630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 411117630 is about 20276.0358551666. The cubic root of 411117630 is about 743.5702983214.

Adding to 411117630 its reverse (36711114), we get a palindrome (447828744).

The spelling of 411117630 in words is "four hundred eleven million, one hundred seventeen thousand, six hundred thirty".