462280 has 64 divisors (see below), whose sum is σ = 1290240. Its totient is φ = 145152.

The previous prime is 462271. The next prime is 462307. The reversal of 462280 is 82264.

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, 3577 + ... + 3703.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2⁴⁶²²⁸⁰ is an apocalyptic number.

462280 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 462280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645120).

462280 is an abundant number, since it is smaller than the sum of its proper divisors (827960).

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

462280 is a wasteful number, since it uses less digits than its factorization.

462280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 462280 is about 679.9117589805. The cubic root of 462280 is about 77.3217547733.

The spelling of 462280 in words is "four hundred sixty-two thousand, two hundred eighty".