411263600 has 120 divisors (see below), whose sum is σ = 1086775680. Its totient is φ = 148320000.

The previous prime is 411263599. The next prime is 411263603. The reversal of 411263600 is 6362114.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411263603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 664091 + ... + 664709.

It is an arithmetic number, because the mean of its divisors is an integer number (9056464).

Almost surely, 2^411263600 is an apocalyptic number.

411263600 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 411263600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543387840).

411263600 is an abundant number, since it is smaller than the sum of its proper divisors (675512080).

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

411263600 is a wasteful number, since it uses less digits than its factorization.

411263600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 411263600 is about 20279.6351051985. The cubic root of 411263600 is about 743.6582910720.

The spelling of 411263600 in words is "four hundred eleven million, two hundred sixty-three thousand, six hundred".