545353200 has 720 divisors, whose sum is σ = 2446629120. Its totient is φ = 109486080.

The previous prime is 545353189. The next prime is 545353223. The reversal of 545353200 is 2353545.

545353200 is a `hidden beast` number, since 5 + 453 + 5 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×545353200² = 594820225500480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8139567 + ... + 8139633.

It is an arithmetic number, because the mean of its divisors is an integer number (3398096).

Almost surely, 2^545353200 is an apocalyptic number.

545353200 is a gapful number since it is divisible by the number (50) 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 545353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223314560).

545353200 is an abundant number, since it is smaller than the sum of its proper divisors (1901275920).

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

545353200 is a wasteful number, since it uses less digits than its factorization.

545353200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 545353200 is about 23352.7985474975. The cubic root of 545353200 is about 817.0073343871.

It can be divided in two parts, 5453 and 53200, that added together give a triangular number (58653 = T₃₄₂).

The spelling of 545353200 in words is "five hundred forty-five million, three hundred fifty-three thousand, two hundred".