416067664 has 20 divisors (see below), whose sum is σ = 827919604. Its totient is φ = 202411008.

The previous prime is 416067623. The next prime is 416067667. The reversal of 416067664 is 466760614.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 281971264 + 134096400 = 16792^2 + 11580^2 .

It is a super-2 number, since 2×416067664² = 346224602052833792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416067667) by changing a digit.

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, 350817 + ... + 352000.

Almost surely, 2^416067664 is an apocalyptic number.

It is an amenable number.

416067664 is a deficient number, since it is larger than the sum of its proper divisors (411851940).

416067664 is a wasteful number, since it uses less digits than its factorization.

416067664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702862 (or 702856 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 416067664 is about 20397.7367371971. The cubic root of 416067664 is about 746.5427029889.

It can be divided in two parts, 4160 and 67664, that added together give a square (71824 = 268²).

The spelling of 416067664 in words is "four hundred sixteen million, sixty-seven thousand, six hundred sixty-four".