468100 has 36 divisors (see below), whose sum is σ = 1055488. Its totient is φ = 180000.

The previous prime is 468079. The next prime is 468107. The reversal of 468100 is 1864.

It is a super-2 number, since 2×468100² = 438235220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468107) by changing a digit.

468100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3025 + ... + 3175.

2⁴⁶⁸¹⁰⁰ 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 468100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527744).

468100 is an abundant number, since it is smaller than the sum of its proper divisors (587388).

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

468100 is a wasteful number, since it uses less digits than its factorization.

468100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 468100 is about 684.1783393239. The cubic root of 468100 is about 77.6448902417.

Adding to 468100 its reverse (1864), we get a palindrome (469964).

The spelling of 468100 in words is "four hundred sixty-eight thousand, one hundred".