461550 has 48 divisors (see below), whose sum is σ = 1218672. Its totient is φ = 115200.

The previous prime is 461521. The next prime is 461561. The reversal of 461550 is 55164.

461550 = 12² + 13² + ... + 111².

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2460 + ... + 2640.

It is an arithmetic number, because the mean of its divisors is an integer number (25389).

2⁴⁶¹⁵⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609336).

461550 is an abundant number, since it is smaller than the sum of its proper divisors (757122).

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

461550 is a wasteful number, since it uses less digits than its factorization.

461550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 461550 is about 679.3747125114. The cubic root of 461550 is about 77.2810329753.

It can be divided in two parts, 46 and 1550, that added together give a triangular number (1596 = T₅₆).

The spelling of 461550 in words is "four hundred sixty-one thousand, five hundred fifty".