4675824400 has 135 divisors (see below), whose sum is σ = 12210695679. Its totient is φ = 1719893760.

The previous prime is 4675824389. The next prime is 4675824403. The reversal of 4675824400 is 44285764.

It is a happy number.

The square root of 4675824400 is 68380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1205200656 + 3470623744 = 34716^2 + 58912^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4675824403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17778669 + ... + 17778931.

Almost surely, 2^4675824400 is an apocalyptic number.

4675824400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4675824400 is the 68380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4675824400

4675824400 is an abundant number, since it is smaller than the sum of its proper divisors (7534871279).

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

4675824400 is a wasteful number, since it uses less digits than its factorization.

4675824400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The cubic root of 4675824400 is about 1672.1917032546.

The spelling of 4675824400 in words is "four billion, six hundred seventy-five million, eight hundred twenty-four thousand, four hundred".