1454326272 has 480 divisors, whose sum is σ = 5317963200. Its totient is φ = 390168576.

The previous prime is 1454326267. The next prime is 1454326273. The reversal of 1454326272 is 2726234541.

1454326272 is a `hidden beast` number, since 14 + 54 + 326 + 272 = 666.

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

Its product of digits (80640) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1454326273) 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, 12870088 + ... + 12870200.

It is an arithmetic number, because the mean of its divisors is an integer number (11079090).

Almost surely, 2^1454326272 is an apocalyptic number.

1454326272 is a gapful number since it is divisible by the number (12) 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 1454326272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658981600).

1454326272 is an abundant number, since it is smaller than the sum of its proper divisors (3863636928).

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

1454326272 is a wasteful number, since it uses less digits than its factorization.

1454326272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 1454326272 is about 38135.6299541518. The cubic root of 1454326272 is about 1132.9757555509.

The spelling of 1454326272 in words is "one billion, four hundred fifty-four million, three hundred twenty-six thousand, two hundred seventy-two".