461480 has 32 divisors (see below), whose sum is σ = 1058400. Its totient is φ = 181056.

The previous prime is 461479. The next prime is 461507. The reversal of 461480 is 84164.

It is a happy number.

461480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 461480.

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, 3251 + ... + 3389.

It is an arithmetic number, because the mean of its divisors is an integer number (33075).

2⁴⁶¹⁴⁸⁰ is an apocalyptic number.

461480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529200).

461480 is an abundant number, since it is smaller than the sum of its proper divisors (596920).

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

461480 is a wasteful number, since it uses less digits than its factorization.

461480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 461480 is about 679.3231925969. The cubic root of 461480 is about 77.2771258899.

The spelling of 461480 in words is "four hundred sixty-one thousand, four hundred eighty".