4458053600 has 576 divisors, whose sum is σ = 15434012160. Its totient is φ = 1210982400.

The previous prime is 4458053573. The next prime is 4458053603. The reversal of 4458053600 is 63508544.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4458053603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15215054 + ... + 15215346.

It is an arithmetic number, because the mean of its divisors is an integer number (26795160).

Almost surely, 2^4458053600 is an apocalyptic number.

4458053600 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 4458053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7717006080).

4458053600 is an abundant number, since it is smaller than the sum of its proper divisors (10975958560).

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

4458053600 is a wasteful number, since it uses less digits than its factorization.

4458053600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 4458053600 is about 66768.6573176367. The cubic root of 4458053600 is about 1645.8178261139.

The spelling of 4458053600 in words is "four billion, four hundred fifty-eight million, fifty-three thousand, six hundred".