466121664 has 42 divisors (see below), whose sum is σ = 1336055240. Its totient is φ = 155373696.

The previous prime is 466121647. The next prime is 466121681.

466121664 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (466121647) and next prime (466121681).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 404044 + ... + 405195.

Almost surely, 2^466121664 is an apocalyptic number.

It is an amenable number.

466121664 is an abundant number, since it is smaller than the sum of its proper divisors (869933576).

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

466121664 is a wasteful number, since it uses less digits than its factorization.

466121664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809257 (or 809244 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 466121664 is about 21589.8509489992. The cubic root of 466121664 is about 775.3535197426.

The spelling of 466121664 in words is "four hundred sixty-six million, one hundred twenty-one thousand, six hundred sixty-four".