455344128 has 114 divisors (see below), whose sum is σ = 1322251814. Its totient is φ = 150994944.

The previous prime is 455344081. The next prime is 455344129. The reversal of 455344128 is 821443554.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 339738624 + 115605504 = 18432^2 + 10752^2 .

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 455344092 and 455344101.

It is not an unprimeable number, because it can be changed into a prime (455344129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2359200 + ... + 2359392.

Almost surely, 2^455344128 is an apocalyptic number.

455344128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455344128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661125907).

455344128 is an abundant number, since it is smaller than the sum of its proper divisors (866907686).

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

455344128 is an frugal number, since it uses more digits than its factorization.

455344128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 198 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 455344128 is about 21338.7939677949. The cubic root of 455344128 is about 769.3310251933.

The spelling of 455344128 in words is "four hundred fifty-five million, three hundred forty-four thousand, one hundred twenty-eight".