414220410 has 48 divisors (see below), whose sum is σ = 1081650024. Its totient is φ = 109979136.

The previous prime is 414220403. The next prime is 414220451. The reversal of 414220410 is 14022414.

It can be written as a sum of positive squares in 4 ways, for example, as 227979801 + 186240609 = 15099^2 + 13647^2 .

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 23 ways as a sum of consecutive naturals, for example, 11094 + ... + 30846.

Almost surely, 2^414220410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414220410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540825012).

414220410 is an abundant number, since it is smaller than the sum of its proper divisors (667429614).

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

414220410 is a wasteful number, since it uses less digits than its factorization.

414220410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19999 (or 19996 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 414220410 is about 20352.4055089319. The cubic root of 414220410 is about 745.4362323616.

Adding to 414220410 its reverse (14022414), we get a palindrome (428242824).

The spelling of 414220410 in words is "four hundred fourteen million, two hundred twenty thousand, four hundred ten".