456870 has 32 divisors (see below), whose sum is σ = 1114848. Its totient is φ = 119808.

The previous prime is 456821. The next prime is 456871. The reversal of 456870 is 78654.

It is a happy number.

456870 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (456871) by changing a digit.

456870 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2832 + ... + 2988.

It is an arithmetic number, because the mean of its divisors is an integer number (34839).

2⁴⁵⁶⁸⁷⁰ is an apocalyptic number.

456870 is an abundant number, since it is smaller than the sum of its proper divisors (657978).

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

456870 is a wasteful number, since it uses less digits than its factorization.

456870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 456870 is about 675.9215930861. The cubic root of 456870 is about 77.0189417615.

It can be divided in two parts, 456 and 870, that added together give a triangular number (1326 = T₅₁).

The spelling of 456870 in words is "four hundred fifty-six thousand, eight hundred seventy".