461552 has 40 divisors (see below), whose sum is σ = 1104096. Its totient is φ = 182016.

The previous prime is 461521. The next prime is 461561. The reversal of 461552 is 255164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1298 + ... + 1614.

2⁴⁶¹⁵⁵² 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 461552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552048).

461552 is an abundant number, since it is smaller than the sum of its proper divisors (642544).

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

461552 is a wasteful number, since it uses less digits than its factorization.

461552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its digits is 1200, while the sum is 23.

The square root of 461552 is about 679.3761844516. The cubic root of 461552 is about 77.2811446005.

The spelling of 461552 in words is "four hundred sixty-one thousand, five hundred fifty-two".