455253984 has 144 divisors (see below), whose sum is σ = 1372250880. Its totient is φ = 142767360.

The previous prime is 455253983. The next prime is 455253989. The reversal of 455253984 is 489352554.

455253984 is a `hidden beast` number, since 4 + 552 + 5 + 3 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455253983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1482759 + ... + 1483065.

It is an arithmetic number, because the mean of its divisors is an integer number (9529520).

Almost surely, 2^455253984 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 455253984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686125440).

455253984 is an abundant number, since it is smaller than the sum of its proper divisors (916996896).

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

455253984 is a wasteful number, since it uses less digits than its factorization.

455253984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 602 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 455253984 is about 21336.6816539030. The cubic root of 455253984 is about 769.2802539571.

The spelling of 455253984 in words is "four hundred fifty-five million, two hundred fifty-three thousand, nine hundred eighty-four".