456630 has 32 divisors (see below), whose sum is σ = 1133568. Its totient is φ = 117600.

The previous prime is 456623. The next prime is 456641. The reversal of 456630 is 36654.

456630 = T₁₆ + T₁₇ + ... + T₁₃₉.

456630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 456630.

It is a congruent number.

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, 685 + ... + 1175.

It is an arithmetic number, because the mean of its divisors is an integer number (35424).

2⁴⁵⁶⁶³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566784).

456630 is an abundant number, since it is smaller than the sum of its proper divisors (676938).

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

456630 is a wasteful number, since it uses less digits than its factorization.

456630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 456630 is about 675.7440343799. The cubic root of 456630 is about 77.0054530349.

Adding to 456630 its sum of digits (24), we get a palindrome (456654).

The spelling of 456630 in words is "four hundred fifty-six thousand, six hundred thirty".