414445460 has 144 divisors (see below), whose sum is σ = 1049231232. Its totient is φ = 136281600.

The previous prime is 414445459. The next prime is 414445463. The reversal of 414445460 is 64544414.

It is a super-2 number, since 2×414445460² = 343530078629223200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414445463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2639702 + ... + 2639858.

It is an arithmetic number, because the mean of its divisors is an integer number (7286328).

Almost surely, 2^414445460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414445460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524615616).

414445460 is an abundant number, since it is smaller than the sum of its proper divisors (634785772).

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

414445460 is a wasteful number, since it uses less digits than its factorization.

414445460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 414445460 is about 20357.9335886529. The cubic root of 414445460 is about 745.5712088517.

Adding to 414445460 its reverse (64544414), we get a palindrome (478989874).

The spelling of 414445460 in words is "four hundred fourteen million, four hundred forty-five thousand, four hundred sixty".