452048000 has 128 divisors (see below), whose sum is σ = 1183852800. Its totient is φ = 171187200.

The previous prime is 452047979. The next prime is 452048041. The reversal of 452048000 is 840254.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303257 + ... + 304743.

It is an arithmetic number, because the mean of its divisors is an integer number (9248850).

Almost surely, 2^452048000 is an apocalyptic number.

452048000 is a gapful number since it is divisible by the number (40) 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 452048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591926400).

452048000 is an abundant number, since it is smaller than the sum of its proper divisors (731804800).

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

452048000 is a wasteful number, since it uses less digits than its factorization.

452048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 452048000 is about 21261.4204605431. The cubic root of 452048000 is about 767.4701930443.

Adding to 452048000 its reverse (840254), we get a palindrome (452888254).

It can be divided in two parts, 45 and 2048000, that multiplied together give a square (92160000 = 9600²).

The spelling of 452048000 in words is "four hundred fifty-two million, forty-eight thousand".