454120128 has 224 divisors, whose sum is σ = 1664939520. Its totient is φ = 117918720.

The previous prime is 454120127. The next prime is 454120153. The reversal of 454120128 is 821021454.

454120128 is a `hidden beast` number, since 454 + 1 + 201 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (454120127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131350 + ... + 134762.

Almost surely, 2^454120128 is an apocalyptic number.

454120128 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 454120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832469760).

454120128 is an abundant number, since it is smaller than the sum of its proper divisors (1210819392).

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

454120128 is a wasteful number, since it uses less digits than its factorization.

454120128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 454120128 is about 21310.0945094103. The cubic root of 454120128 is about 768.6410663016.

The spelling of 454120128 in words is "four hundred fifty-four million, one hundred twenty thousand, one hundred twenty-eight".