413211040 has 96 divisors (see below), whose sum is σ = 1069479936. Its totient is φ = 149621760.

The previous prime is 413211023. The next prime is 413211089. The reversal of 413211040 is 40112314.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 673774 + ... + 674386.

It is an arithmetic number, because the mean of its divisors is an integer number (11140416).

Almost surely, 2^413211040 is an apocalyptic number.

413211040 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 413211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534739968).

413211040 is an abundant number, since it is smaller than the sum of its proper divisors (656268896).

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

413211040 is a wasteful number, since it uses less digits than its factorization.

413211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 413211040 is about 20327.5930695201. The cubic root of 413211040 is about 744.8302482482.

Adding to 413211040 its reverse (40112314), we get a palindrome (453323354).

The spelling of 413211040 in words is "four hundred thirteen million, two hundred eleven thousand, forty".