456616 has 8 divisors (see below), whose sum is σ = 856170. Its totient is φ = 228304.

The previous prime is 456613. The next prime is 456623. The reversal of 456616 is 616654.

456616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 427716 + 28900 = 654^2 + 170^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (456611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28531 + ... + 28546.

2⁴⁵⁶⁶¹⁶ is an apocalyptic number.

It is an amenable number.

456616 is a deficient number, since it is larger than the sum of its proper divisors (399554).

456616 is a wasteful number, since it uses less digits than its factorization.

456616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57083 (or 57079 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 456616 is about 675.7336753485. The cubic root of 456616 is about 77.0046660466.

The spelling of 456616 in words is "four hundred fifty-six thousand, six hundred sixteen".