4455158400 has 1152 divisors, whose sum is σ = 20717424000. Its totient is φ = 903168000.

The previous prime is 4455158369. The next prime is 4455158401. The reversal of 4455158400 is 48515544.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (4455158401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108662380 + ... + 108662420.

It is an arithmetic number, because the mean of its divisors is an integer number (17983875).

Almost surely, 2^4455158400 is an apocalyptic number.

4455158400 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 4455158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10358712000).

4455158400 is an abundant number, since it is smaller than the sum of its proper divisors (16262265600).

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

4455158400 is a wasteful number, since it uses less digits than its factorization.

4455158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 4455158400 is about 66746.9729650716. The cubic root of 4455158400 is about 1645.4614670331.

The spelling of 4455158400 in words is "four billion, four hundred fifty-five million, one hundred fifty-eight thousand, four hundred".