462870 has 48 divisors (see below), whose sum is σ = 1244880. Its totient is φ = 119232.

The previous prime is 462863. The next prime is 462871. The reversal of 462870 is 78264.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 462870.

It is not an unprimeable number, because it can be changed into a prime (462871) by changing a digit.

462870 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3261 + ... + 3399.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

2⁴⁶²⁸⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622440).

462870 is an abundant number, since it is smaller than the sum of its proper divisors (782010).

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

462870 is a wasteful number, since it uses less digits than its factorization.

462870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 462870 is about 680.3455004628. The cubic root of 462870 is about 77.3546355967.

It can be divided in two parts, 46 and 2870, that added together give a square (2916 = 54²).

The spelling of 462870 in words is "four hundred sixty-two thousand, eight hundred seventy".