461720 has 64 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 147456.

The previous prime is 461717. The next prime is 461801. The reversal of 461720 is 27164.

461720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 461692 and 461701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4712 + ... + 4808.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2⁴⁶¹⁷²⁰ is an apocalyptic number.

461720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 679×680.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

461720 is an abundant number, since it is smaller than the sum of its proper divisors (808360).

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

461720 is a wasteful number, since it uses less digits than its factorization.

461720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 461720 is about 679.4998160412. The cubic root of 461720 is about 77.2905199669.

Adding to 461720 its reverse (27164), we get a palindrome (488884).

The spelling of 461720 in words is "four hundred sixty-one thousand, seven hundred twenty".