456016 has 20 divisors (see below), whose sum is σ = 964224. Its totient is φ = 207200.

The previous prime is 456013. The next prime is 456023. The reversal of 456016 is 610654.

456016 = T₈₃ + T₈₄ + ... + T₁₄₈.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1120 + ... + 1471.

2⁴⁵⁶⁰¹⁶ is an apocalyptic number.

It is an amenable number.

456016 is an abundant number, since it is smaller than the sum of its proper divisors (508208).

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

456016 is a wasteful number, since it uses less digits than its factorization.

456016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 456016 is about 675.2895675190. The cubic root of 456016 is about 76.9709228492.

The spelling of 456016 in words is "four hundred fifty-six thousand, sixteen".