414666768 has 20 divisors (see below), whose sum is σ = 1071222608. Its totient is φ = 138222240.

The previous prime is 414666731. The next prime is 414666787. The reversal of 414666768 is 867666414.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 8638891 = 414666768 / (4 + 1 + 4 + 6 + 6 + 6 + 7 + 6 + 8).

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 3 ways as a sum of consecutive naturals, for example, 4319398 + ... + 4319493.

Almost surely, 2^414666768 is an apocalyptic number.

414666768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

414666768 is an abundant number, since it is smaller than the sum of its proper divisors (656555840).

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

414666768 is a wasteful number, since it uses less digits than its factorization.

414666768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8638902 (or 8638896 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 414666768 is about 20363.3682871965. The cubic root of 414666768 is about 745.7038933892.

The spelling of 414666768 in words is "four hundred fourteen million, six hundred sixty-six thousand, seven hundred sixty-eight".