461400 has 48 divisors (see below), whose sum is σ = 1432200. Its totient is φ = 122880.

The previous prime is 461393. The next prime is 461407. The reversal of 461400 is 4164.

It is an interprime number because it is at equal distance from previous prime (461393) and next prime (461407).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 461400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461407) by changing a digit.

461400 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 11 ways as a sum of consecutive naturals, for example, 216 + ... + 984.

2⁴⁶¹⁴⁰⁰ is an apocalyptic number.

461400 is a gapful number since it is divisible by the number (40) 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 461400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716100).

461400 is an abundant number, since it is smaller than the sum of its proper divisors (970800).

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

461400 is a wasteful number, since it uses less digits than its factorization.

461400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 461400 is about 679.2643079097. The cubic root of 461400 is about 77.2726601656.

Adding to 461400 its reverse (4164), we get a palindrome (465564).

It can be divided in two parts, 461 and 400, that added together give a triangular number (861 = T₄₁).

The spelling of 461400 in words is "four hundred sixty-one thousand, four hundred".