4275594400 has 288 divisors, whose sum is σ = 13439139840. Its totient is φ = 1289088000.

The previous prime is 4275594391. The next prime is 4275594403. The reversal of 4275594400 is 44955724.

4275594400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4275594400² = 36561414946622720000, which contains 22 as substring.

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 (4275594403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1908481 + ... + 1910719.

It is an arithmetic number, because the mean of its divisors is an integer number (46663680).

Almost surely, 2^4275594400 is an apocalyptic number.

4275594400 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 4275594400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6719569920).

4275594400 is an abundant number, since it is smaller than the sum of its proper divisors (9163545440).

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

4275594400 is a wasteful number, since it uses less digits than its factorization.

4275594400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 4275594400 is about 65388.0294855259. The cubic root of 4275594400 is about 1623.0509998227.

The spelling of 4275594400 in words is "four billion, two hundred seventy-five million, five hundred ninety-four thousand, four hundred".