4594128400 has 45 divisors (see below), whose sum is σ = 11040651271. Its totient is φ = 1837109120.

The previous prime is 4594128311. The next prime is 4594128401. The reversal of 4594128400 is 48214954.

The square root of 4594128400 is 67780.

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 947900944 + 3646227456 = 30788^2 + 60384^2 .

It is a super-2 number, since 2×4594128400² = 42212031511373120000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4594128400.

It is not an unprimeable number, because it can be changed into a prime (4594128401) 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 8 ways as a sum of consecutive naturals, for example, 1353906 + ... + 1357294.

Almost surely, 2^4594128400 is an apocalyptic number.

4594128400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4594128400 is the 67780-th square number.

It is an amenable number.

4594128400 is an abundant number, since it is smaller than the sum of its proper divisors (6446522871).

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

4594128400 is an frugal number, since it uses more digits than its factorization.

4594128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6796 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The cubic root of 4594128400 is about 1662.3955831682.

The spelling of 4594128400 in words is "four billion, five hundred ninety-four million, one hundred twenty-eight thousand, four hundred".