4725964800 has 288 divisors, whose sum is σ = 16955608410. Its totient is φ = 1258291200.

The previous prime is 4725964799. The next prime is 4725964801. The reversal of 4725964800 is 84695274.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4725964799) and next prime (4725964801).

It can be written as a sum of positive squares in 3 ways, for example, as 4311760896 + 414203904 = 65664^2 + 20352^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4725964801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7372480 + ... + 7373120.

Almost surely, 2^4725964800 is an apocalyptic number.

4725964800 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 4725964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8477804205).

4725964800 is an abundant number, since it is smaller than the sum of its proper divisors (12229643610).

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

4725964800 is an equidigital number, since it uses as much as digits as its factorization.

4725964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4725964800 is about 68745.6529534777. The cubic root of 4725964800 is about 1678.1476181632.

The spelling of 4725964800 in words is "four billion, seven hundred twenty-five million, nine hundred sixty-four thousand, eight hundred".