414089960 has 32 divisors (see below), whose sum is σ = 946981800. Its totient is φ = 162919680.

The previous prime is 414089959. The next prime is 414089983. The reversal of 414089960 is 69980414.

It can be written as a sum of positive squares in 4 ways, for example, as 265103524 + 148986436 = 16282^2 + 12206^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82415 + ... + 87294.

Almost surely, 2^414089960 is an apocalyptic number.

414089960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414089960 is an abundant number, since it is smaller than the sum of its proper divisors (532891840).

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

414089960 is a wasteful number, since it uses less digits than its factorization.

414089960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169781 (or 169777 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 414089960 is about 20349.2004756944. The cubic root of 414089960 is about 745.3579709947.

The spelling of 414089960 in words is "four hundred fourteen million, eighty-nine thousand, nine hundred sixty".