4456452000 has 1152 divisors, whose sum is σ = 20328392448. Its totient is φ = 838656000.

The previous prime is 4456451933. The next prime is 4456452023. The reversal of 4456452000 is 2546544.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84083974 + ... + 84084026.

It is an arithmetic number, because the mean of its divisors is an integer number (17646174).

Almost surely, 2^4456452000 is an apocalyptic number.

4456452000 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 4456452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10164196224).

4456452000 is an abundant number, since it is smaller than the sum of its proper divisors (15871940448).

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

4456452000 is a wasteful number, since it uses less digits than its factorization.

4456452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 4456452000 is about 66756.6625888383. The cubic root of 4456452000 is about 1645.6207103774.

Adding to 4456452000 its reverse (2546544), we get a palindrome (4458998544).

The spelling of 4456452000 in words is "four billion, four hundred fifty-six million, four hundred fifty-two thousand".