455718816 has 216 divisors, whose sum is σ = 1544647104. Its totient is φ = 127008000.

The previous prime is 455718811. The next prime is 455718821. The reversal of 455718816 is 618817554.

455718816 is a `hidden beast` number, since 4 + 557 + 1 + 88 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (455718811) and next prime (455718821).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455718811) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 606441 + ... + 607191.

It is an arithmetic number, because the mean of its divisors is an integer number (7151144).

Almost surely, 2^455718816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455718816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772323552).

455718816 is an abundant number, since it is smaller than the sum of its proper divisors (1088928288).

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

455718816 is a wasteful number, since it uses less digits than its factorization.

455718816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 806 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The square root of 455718816 is about 21347.5716651801. The cubic root of 455718816 is about 769.5419865704.

The spelling of 455718816 in words is "four hundred fifty-five million, seven hundred eighteen thousand, eight hundred sixteen".