455225472 has 192 divisors, whose sum is σ = 1428499800. Its totient is φ = 138313728.

The previous prime is 455225437. The next prime is 455225489. The reversal of 455225472 is 274522554.

It can be written as a sum of positive squares in 4 ways, for example, as 66977856 + 388247616 = 8184^2 + 19704^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (112000) is a multiple of the sum of its prime divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1692154 + ... + 1692422.

Almost surely, 2^455225472 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 455225472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714249900).

455225472 is an abundant number, since it is smaller than the sum of its proper divisors (973274328).

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

455225472 is a wasteful number, since it uses less digits than its factorization.

455225472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 400 counting only the distinct ones).

The product of its digits is 112000, while the sum is 36.

The square root of 455225472 is about 21336.0134983084. The cubic root of 455225472 is about 769.2641939281.

The spelling of 455225472 in words is "four hundred fifty-five million, two hundred twenty-five thousand, four hundred seventy-two".