4575722400 has 360 divisors, whose sum is σ = 16813197324. Its totient is φ = 1210982400.

The previous prime is 4575722383. The next prime is 4575722429. The reversal of 4575722400 is 42275754.

It is a happy number.

4575722400 is a `hidden beast` number, since 45 + 7 + 572 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3447568656 + 1128153744 = 58716^2 + 33588^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 15616654 + ... + 15616946.

Almost surely, 2^4575722400 is an apocalyptic number.

4575722400 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 4575722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8406598662).

4575722400 is an abundant number, since it is smaller than the sum of its proper divisors (12237474924).

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

4575722400 is a wasteful number, since it uses less digits than its factorization.

4575722400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 4575722400 is about 67644.0862160174. The cubic root of 4575722400 is about 1660.1725276723.

The spelling of 4575722400 in words is "four billion, five hundred seventy-five million, seven hundred twenty-two thousand, four hundred".