414362468 has 24 divisors (see below), whose sum is σ = 781471992. Its totient is φ = 191107584.

The previous prime is 414362453. The next prime is 414362479. The reversal of 414362468 is 864263414.

It can be written as a sum of positive squares in 4 ways, for example, as 72556324 + 341806144 = 8518^2 + 18488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127196 + ... + 130412.

It is an arithmetic number, because the mean of its divisors is an integer number (32561333).

Almost surely, 2^414362468 is an apocalyptic number.

It is an amenable number.

414362468 is a deficient number, since it is larger than the sum of its proper divisors (367109524).

414362468 is a wasteful number, since it uses less digits than its factorization.

414362468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5711 (or 5709 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

The square root of 414362468 is about 20355.8951657745. The cubic root of 414362468 is about 745.5214390731.

The spelling of 414362468 in words is "four hundred fourteen million, three hundred sixty-two thousand, four hundred sixty-eight".