454054272 has 128 divisors (see below), whose sum is σ = 1423104000. Its totient is φ = 125521920.

The previous prime is 454054261. The next prime is 454054277. The reversal of 454054272 is 272450454.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454054277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80604 + ... + 86052.

It is an arithmetic number, because the mean of its divisors is an integer number (11118000).

Almost surely, 2^454054272 is an apocalyptic number.

454054272 is a gapful number since it is divisible by the number (42) 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 454054272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711552000).

454054272 is an abundant number, since it is smaller than the sum of its proper divisors (969049728).

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

454054272 is a wasteful number, since it uses less digits than its factorization.

454054272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 5492 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 33.

The square root of 454054272 is about 21308.5492701873. The cubic root of 454054272 is about 768.6039086789.

The spelling of 454054272 in words is "four hundred fifty-four million, fifty-four thousand, two hundred seventy-two".