416964 has 12 divisors (see below), whose sum is σ = 972944. Its totient is φ = 138984.

The previous prime is 416963. The next prime is 416989. The reversal of 416964 is 469614.

416964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (416963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17362 + ... + 17385.

2⁴¹⁶⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

416964 is an abundant number, since it is smaller than the sum of its proper divisors (555980).

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

416964 is a wasteful number, since it uses less digits than its factorization.

416964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34754 (or 34752 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 416964 is about 645.7274967043. The cubic root of 416964 is about 74.7078411651.

Subtracting 416964 from its reverse (469614), we obtain a triangular number (52650 = T₃₂₄).

The spelling of 416964 in words is "four hundred sixteen thousand, nine hundred sixty-four".