414611960 has 32 divisors (see below), whose sum is σ = 1066145760. Its totient is φ = 142152576.

The previous prime is 414611959. The next prime is 414611971. The reversal of 414611960 is 69116414.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 740099 + ... + 740658.

It is an arithmetic number, because the mean of its divisors is an integer number (33317055).

Almost surely, 2^414611960 is an apocalyptic number.

414611960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414611960 is an abundant number, since it is smaller than the sum of its proper divisors (651533800).

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

414611960 is a wasteful number, since it uses less digits than its factorization.

414611960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480775 (or 1480771 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 414611960 is about 20362.0224928665. The cubic root of 414611960 is about 745.6710378186.

The spelling of 414611960 in words is "four hundred fourteen million, six hundred eleven thousand, nine hundred sixty".