461500 has 48 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 168000.

The previous prime is 461479. The next prime is 461507. The reversal of 461500 is 5164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6465 + ... + 6535.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2⁴⁶¹⁵⁰⁰ 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 461500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368).

461500 is an abundant number, since it is smaller than the sum of its proper divisors (639236).

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

461500 is a wasteful number, since it uses less digits than its factorization.

461500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 461500 is about 679.3379129712. The cubic root of 461500 is about 77.2782422403.

Adding to 461500 its reverse (5164), we get a palindrome (466664).

It can be divided in two parts, 461 and 500, that added together give a square (961 = 31²).

The spelling of 461500 in words is "four hundred sixty-one thousand, five hundred".