414668464 has 40 divisors (see below), whose sum is σ = 966525440. Its totient is φ = 168360768.

The previous prime is 414668459. The next prime is 414668467. The reversal of 414668464 is 464866414.

It is a super-2 number, since 2×414668464² = 343899870072238592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414668464.

It is not an unprimeable number, because it can be changed into a prime (414668467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95304 + ... + 99559.

It is an arithmetic number, because the mean of its divisors is an integer number (24163136).

Almost surely, 2^414668464 is an apocalyptic number.

It is an amenable number.

414668464 is an abundant number, since it is smaller than the sum of its proper divisors (551856976).

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

414668464 is a wasteful number, since it uses less digits than its factorization.

414668464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194897 (or 194891 counting only the distinct ones).

The product of its digits is 442368, while the sum is 43.

The square root of 414668464 is about 20363.4099305593. The cubic root of 414668464 is about 745.7049100385.

The spelling of 414668464 in words is "four hundred fourteen million, six hundred sixty-eight thousand, four hundred sixty-four".