416468 has 12 divisors (see below), whose sum is σ = 784980. Its totient is φ = 192192.

The previous prime is 416459. The next prime is 416473. The reversal of 416468 is 864614.

416468 is nontrivially palindromic in base 14.

416468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

416468 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 158404 + 258064 = 398^2 + 508^2 .

416468 is an undulating number in base 14.

416468 is a modest number, since divided by 468 gives 416 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 416468.

It is a congruent number.

It is an unprimeable number.

416468 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3953 + ... + 4056.

It is an arithmetic number, because the mean of its divisors is an integer number (65415).

2⁴¹⁶⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

416468 is a deficient number, since it is larger than the sum of its proper divisors (368512).

416468 is a wasteful number, since it uses less digits than its factorization.

416468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8026 (or 8024 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 416468 is about 645.3433194820. The cubic root of 416468 is about 74.6782064789.

The spelling of 416468 in words is "four hundred sixteen thousand, four hundred sixty-eight".