4452254400 has 672 divisors, whose sum is σ = 17062265088. Its totient is φ = 1006387200.

The previous prime is 4452254369. The next prime is 4452254419. The reversal of 4452254400 is 44522544.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84004774 + ... + 84004826.

Almost surely, 2^4452254400 is an apocalyptic number.

4452254400 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 4452254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8531132544).

4452254400 is an abundant number, since it is smaller than the sum of its proper divisors (12610010688).

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

4452254400 is a wasteful number, since it uses less digits than its factorization.

4452254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 4452254400 is about 66725.2156234808. The cubic root of 4452254400 is about 1645.1038696681.

Adding to 4452254400 its reverse (44522544), we get a palindrome (4496776944).

4452254400 divided by its reverse (44522544) gives a square (100 = 10²).

It can be divided in two parts, 4452 and 254400, that added together give a palindrome (258852).

The spelling of 4452254400 in words is "four billion, four hundred fifty-two million, two hundred fifty-four thousand, four hundred".