545193600 has 576 divisors, whose sum is σ = 2234901600. Its totient is φ = 116121600.

The previous prime is 545193589. The next prime is 545193629. The reversal of 545193600 is 6391545.

It is a happy number.

545193600 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 2×545193600² = 594472122961920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8937570 + ... + 8937630.

Almost surely, 2^545193600 is an apocalyptic number.

545193600 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 545193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117450800).

545193600 is an abundant number, since it is smaller than the sum of its proper divisors (1689708000).

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

545193600 is a wasteful number, since it uses less digits than its factorization.

545193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 545193600 is about 23349.3811481161. The cubic root of 545193600 is about 816.9276263540.

The spelling of 545193600 in words is "five hundred forty-five million, one hundred ninety-three thousand, six hundred".