414938664 has 144 divisors (see below), whose sum is σ = 1314904500. Its totient is φ = 117863424.

The previous prime is 414938651. The next prime is 414938677. The reversal of 414938664 is 466839414.

It is an interprime number because it is at equal distance from previous prime (414938651) and next prime (414938677).

It can be written as a sum of positive squares in 2 ways, for example, as 414936900 + 1764 = 20370^2 + 42^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1188762 + ... + 1189110.

Almost surely, 2^414938664 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 414938664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657452250).

414938664 is an abundant number, since it is smaller than the sum of its proper divisors (899965836).

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

414938664 is a wasteful number, since it uses less digits than its factorization.

414938664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 698 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 414938664 is about 20370.0432989231. The cubic root of 414938664 is about 745.8668431941.

The spelling of 414938664 in words is "four hundred fourteen million, nine hundred thirty-eight thousand, six hundred sixty-four".