414668144 has 20 divisors (see below), whose sum is σ = 876458040. Its totient is φ = 188485440.

The previous prime is 414668143. The next prime is 414668147. The reversal of 414668144 is 441866414.

It is a junction number, because it is equal to n+sod(n) for n = 414668098 and 414668107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414668143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1177859 + ... + 1178210.

It is an arithmetic number, because the mean of its divisors is an integer number (43822902).

Almost surely, 2^414668144 is an apocalyptic number.

414668144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

414668144 is an abundant number, since it is smaller than the sum of its proper divisors (461789896).

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

414668144 is a wasteful number, since it uses less digits than its factorization.

414668144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356088 (or 2356082 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 414668144 is about 20363.4020733275. The cubic root of 414668144 is about 745.7047182181.

The spelling of 414668144 in words is "four hundred fourteen million, six hundred sixty-eight thousand, one hundred forty-four".