455488416 has 72 divisors (see below), whose sum is σ = 1298013444. Its totient is φ = 151511040.

The previous prime is 455488373. The next prime is 455488417. The reversal of 455488416 is 614884554.

It is a happy number.

455488416 is a `hidden beast` number, since 4 + 554 + 8 + 84 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 428490000 + 26998416 = 20700^2 + 5196^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×455488416² = 414939394220378112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (455488417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164806 + ... + 167546.

Almost surely, 2^455488416 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 455488416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649006722).

455488416 is an abundant number, since it is smaller than the sum of its proper divisors (842525028).

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

455488416 is a wasteful number, since it uses less digits than its factorization.

455488416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3323 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 455488416 is about 21342.1745846106. The cubic root of 455488416 is about 769.4122776682.

The spelling of 455488416 in words is "four hundred fifty-five million, four hundred eighty-eight thousand, four hundred sixteen".