466900 has 72 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 147840.

The previous prime is 466897. The next prime is 466909. The reversal of 466900 is 9664.

It is a super-2 number, since 2×466900² = 435991220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16086 + ... + 16114.

It is an arithmetic number, because the mean of its divisors is an integer number (17360).

2⁴⁶⁶⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

466900 is an abundant number, since it is smaller than the sum of its proper divisors (783020).

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

466900 is a wasteful number, since it uses less digits than its factorization.

466900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 466900 is about 683.3008122343. The cubic root of 466900 is about 77.5784844875.

The spelling of 466900 in words is "four hundred sixty-six thousand, nine hundred".