461524 has 24 divisors (see below), whose sum is σ = 943488. Its totient is φ = 193440.

The previous prime is 461521. The next prime is 461561. The reversal of 461524 is 425164.

461524 = 127² + 128² + ... + 150².

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 461495 and 461504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1329 + ... + 1639.

It is an arithmetic number, because the mean of its divisors is an integer number (39312).

2⁴⁶¹⁵²⁴ 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 461524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744).

461524 is an abundant number, since it is smaller than the sum of its proper divisors (481964).

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

461524 is a wasteful number, since it uses less digits than its factorization.

461524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 373 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 461524 is about 679.3555769993. The cubic root of 461524 is about 77.2795818183.

Adding to 461524 its reverse (425164), we get a palindrome (886688).

The spelling of 461524 in words is "four hundred sixty-one thousand, five hundred twenty-four".