461250 has 60 divisors (see below), whose sum is σ = 1279278. Its totient is φ = 120000.

The previous prime is 461239. The next prime is 461257. The reversal of 461250 is 52164.

It is a happy number.

461250 is a `hidden beast` number, since 4 + 612 + 50 = 666.

461250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 13689 + 447561 = 117^2 + 669^2 .

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

It is not an unprimeable number, because it can be changed into a prime (461257) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11230 + ... + 11270.

2⁴⁶¹²⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639639).

461250 is an abundant number, since it is smaller than the sum of its proper divisors (818028).

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

461250 is a wasteful number, since it uses less digits than its factorization.

461250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 461250 is about 679.1538853603. The cubic root of 461250 is about 77.2642855411.

It can be divided in two parts, 46 and 1250, that added together give a 4-th power (1296 = 6⁴).

The spelling of 461250 in words is "four hundred sixty-one thousand, two hundred fifty".