462880 has 48 divisors (see below), whose sum is σ = 1197504. Its totient is φ = 167680.

The previous prime is 462871. The next prime is 462881. The reversal of 462880 is 88264.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (462881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1629 + ... + 1891.

It is an arithmetic number, because the mean of its divisors is an integer number (24948).

2⁴⁶²⁸⁸⁰ is an apocalyptic number.

462880 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 462880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598752).

462880 is an abundant number, since it is smaller than the sum of its proper divisors (734624).

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

462880 is a wasteful number, since it uses less digits than its factorization.

462880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 462880 is about 680.3528496302. The cubic root of 462880 is about 77.3551926579.

It can be divided in two parts, 46 and 2880, that added together give a triangular number (2926 = T₇₆).

The spelling of 462880 in words is "four hundred sixty-two thousand, eight hundred eighty".