454138272 has 288 divisors, whose sum is σ = 1634048640. Its totient is φ = 121927680.

The previous prime is 454138271. The next prime is 454138301. The reversal of 454138272 is 272831454.

It is a happy number.

454138272 is a `hidden beast` number, since 454 + 138 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (454138271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 719397 + ... + 720027.

It is an arithmetic number, because the mean of its divisors is an integer number (5673780).

Almost surely, 2^454138272 is an apocalyptic number.

454138272 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 454138272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817024320).

454138272 is an abundant number, since it is smaller than the sum of its proper divisors (1179910368).

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

454138272 is a wasteful number, since it uses less digits than its factorization.

454138272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 660 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 454138272 is about 21310.5202188966. The cubic root of 454138272 is about 768.6513029746.

It can be divided in two parts, 4541382 and 72, that added together give a palindrome (4541454).

The spelling of 454138272 in words is "four hundred fifty-four million, one hundred thirty-eight thousand, two hundred seventy-two".