413022240 has 168 divisors, whose sum is σ = 1463391468. Its totient is φ = 110108160.

The previous prime is 413022223. The next prime is 413022283. The reversal of 413022240 is 42220314.

It can be written as a sum of positive squares in 2 ways, for example, as 407878416 + 5143824 = 20196^2 + 2268^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 27 ways as a sum of consecutive naturals, for example, 114870 + ... + 118410.

Almost surely, 2^413022240 is an apocalyptic number.

413022240 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 413022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731695734).

413022240 is an abundant number, since it is smaller than the sum of its proper divisors (1050369228).

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

413022240 is an equidigital number, since it uses as much as digits as its factorization.

413022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 413022240 is about 20322.9486049638. The cubic root of 413022240 is about 744.7167909910.

Adding to 413022240 its reverse (42220314), we get a palindrome (455242554).

The spelling of 413022240 in words is "four hundred thirteen million, twenty-two thousand, two hundred forty".