455753728 has 30 divisors (see below), whose sum is σ = 911512406. Its totient is φ = 227868672.

The previous prime is 455753707. The next prime is 455753737. The reversal of 455753728 is 827357554.

It can be written as a sum of positive squares in only one way, i.e., 398721024 + 57032704 = 19968^2 + 7552^2 .

It is a super-2 number, since 2×455753728² = 415422921171795968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2476 + ... + 30292.

Almost surely, 2^455753728 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 455753728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455756203).

455753728 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

455753728 is an frugal number, since it uses more digits than its factorization.

455753728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27845 (or 27819 counting only the distinct ones).

The product of its digits is 1176000, while the sum is 46.

The square root of 455753728 is about 21348.3893537662. The cubic root of 455753728 is about 769.5616372577.

It can be divided in two parts, 4557 and 53728, that added together give a palindrome (58285).

The spelling of 455753728 in words is "four hundred fifty-five million, seven hundred fifty-three thousand, seven hundred twenty-eight".