461648 has 40 divisors (see below), whose sum is σ = 1014816. Its totient is φ = 201600.

The previous prime is 461639. The next prime is 461653. The reversal of 461648 is 846164.

461648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 461648.

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, 7538 + ... + 7598.

2⁴⁶¹⁶⁴⁸ 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 461648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507408).

461648 is an abundant number, since it is smaller than the sum of its proper divisors (553168).

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

461648 is a wasteful number, since it uses less digits than its factorization.

461648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 461648 is about 679.4468338288. The cubic root of 461648 is about 77.2865022313.

It can be divided in two parts, 4616 and 48, that added together give a palindrome (4664).

The spelling of 461648 in words is "four hundred sixty-one thousand, six hundred forty-eight".