461700 has 108 divisors (see below), whose sum is σ = 1579760. Its totient is φ = 116640.

The previous prime is 461693. The next prime is 461707. The reversal of 461700 is 7164.

It is an interprime number because it is at equal distance from previous prime (461693) and next prime (461707).

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (461707) by changing a digit.

461700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24291 + ... + 24309.

2⁴⁶¹⁷⁰⁰ 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 461700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789880).

461700 is an abundant number, since it is smaller than the sum of its proper divisors (1118060).

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

461700 is a wasteful number, since it uses less digits than its factorization.

461700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 461700 is about 679.4850991744. The cubic root of 461700 is about 77.2894039712.

Adding to 461700 its reverse (7164), we get a palindrome (468864).

The spelling of 461700 in words is "four hundred sixty-one thousand, seven hundred".