5452345600 has 243 divisors, whose sum is σ = 14822091039. Its totient is φ = 1984819200.

The previous prime is 5452345589. The next prime is 5452345603. The reversal of 5452345600 is 65432545.

The square root of 5452345600 is 73840.

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 1405350144 + 4046995456 = 37488^2 + 63616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5452345603) 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, 76793565 + ... + 76793635.

Almost surely, 2^5452345600 is an apocalyptic number.

5452345600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5452345600 is the 73840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5452345600

5452345600 is an abundant number, since it is smaller than the sum of its proper divisors (9369745439).

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

5452345600 is an equidigital number, since it uses as much as digits as its factorization.

5452345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The cubic root of 5452345600 is about 1760.0612926313.

The spelling of 5452345600 in words is "five billion, four hundred fifty-two million, three hundred forty-five thousand, six hundred".