456690 has 32 divisors (see below), whose sum is σ = 1181376. Its totient is φ = 112320.

The previous prime is 456683. The next prime is 456697. The reversal of 456690 is 96654.

It is an interprime number because it is at equal distance from previous prime (456683) and next prime (456697).

It is a super-2 number, since 2×456690² = 417131512200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (456697) by changing a digit.

456690 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 15 ways as a sum of consecutive naturals, for example, 196 + ... + 975.

It is an arithmetic number, because the mean of its divisors is an integer number (36918).

2⁴⁵⁶⁶⁹⁰ is an apocalyptic number.

456690 is an abundant number, since it is smaller than the sum of its proper divisors (724686).

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

456690 is a wasteful number, since it uses less digits than its factorization.

456690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 456690 is about 675.7884284301. The cubic root of 456690 is about 77.0088256595.

It can be divided in two parts, 4566 and 90, that added together give a triangular number (4656 = T₉₆).

The spelling of 456690 in words is "four hundred fifty-six thousand, six hundred ninety".