463980 has 96 divisors (see below), whose sum is σ = 1532160. Its totient is φ = 103680.

The previous prime is 463973. The next prime is 463987. The reversal of 463980 is 89364.

It is an interprime number because it is at equal distance from previous prime (463973) and next prime (463987).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463987) by changing a digit.

463980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12522 + ... + 12558.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2⁴⁶³⁹⁸⁰ 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 463980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080).

463980 is an abundant number, since it is smaller than the sum of its proper divisors (1068180).

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

463980 is a wasteful number, since it uses less digits than its factorization.

463980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 463980 is about 681.1607739734. The cubic root of 463980 is about 77.4164204757.

The spelling of 463980 in words is "four hundred sixty-three thousand, nine hundred eighty".