4815158400 has 480 divisors, whose sum is σ = 19149230100. Its totient is φ = 1184440320.

The previous prime is 4815158393. The next prime is 4815158401. The reversal of 4815158400 is 48515184.

It can be written as a sum of positive squares in 6 ways, for example, as 166100544 + 4649057856 = 12888^2 + 68184^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 (4815158401) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 3368886 + ... + 3370314.

Almost surely, 2^4815158400 is an apocalyptic number.

4815158400 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 4815158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9574615050).

4815158400 is an abundant number, since it is smaller than the sum of its proper divisors (14334071700).

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

4815158400 is a wasteful number, since it uses less digits than its factorization.

4815158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 4815158400 is about 69391.3423994665. The cubic root of 4815158400 is about 1688.6391715533.

The spelling of 4815158400 in words is "four billion, eight hundred fifteen million, one hundred fifty-eight thousand, four hundred".