466525664 has 72 divisors (see below), whose sum is σ = 1024383024. Its totient is φ = 208947200.

The previous prime is 466525651. The next prime is 466525667.

It is a happy number.

466525664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (1036800) is a multiple of the sum of its prime factors (1800).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466525667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274064 + ... + 275760.

It is an arithmetic number, because the mean of its divisors is an integer number (14227542).

Almost surely, 2^466525664 is an apocalyptic number.

466525664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466525664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512191512).

466525664 is an abundant number, since it is smaller than the sum of its proper divisors (557857360).

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

466525664 is a wasteful number, since it uses less digits than its factorization.

466525664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1781 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 44.

The square root of 466525664 is about 21599.2051705613. The cubic root of 466525664 is about 775.5774615379.

The spelling of 466525664 in words is "four hundred sixty-six million, five hundred twenty-five thousand, six hundred sixty-four".