452271456 has 144 divisors (see below), whose sum is σ = 1583041824. Its totient is φ = 119273472.

The previous prime is 452271371. The next prime is 452271481. The reversal of 452271456 is 654172254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 452271456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17580 + ... + 34836.

It is an arithmetic number, because the mean of its divisors is an integer number (10993346).

Almost surely, 2^452271456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452271456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791520912).

452271456 is an abundant number, since it is smaller than the sum of its proper divisors (1130770368).

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

452271456 is a wasteful number, since it uses less digits than its factorization.

452271456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17293 (or 17282 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 452271456 is about 21266.6747753381. The cubic root of 452271456 is about 767.5966306271.

The spelling of 452271456 in words is "four hundred fifty-two million, two hundred seventy-one thousand, four hundred fifty-six".