411244440 has 64 divisors (see below), whose sum is σ = 1237788000. Its totient is φ = 109304832.

The previous prime is 411244409. The next prime is 411244441. The reversal of 411244440 is 44442114.

It is a happy number.

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 411244440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411244441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32086 + ... + 43034.

Almost surely, 2^411244440 is an apocalyptic number.

411244440 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 411244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618894000).

411244440 is an abundant number, since it is smaller than the sum of its proper divisors (826543560).

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

411244440 is a wasteful number, since it uses less digits than its factorization.

411244440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11276 (or 11272 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 411244440 is about 20279.1627046089. The cubic root of 411244440 is about 743.6467423442.

Adding to 411244440 its reverse (44442114), we get a palindrome (455686554).

The spelling of 411244440 in words is "four hundred eleven million, two hundred forty-four thousand, four hundred forty".