545302800 has 240 divisors, whose sum is σ = 2218449280. Its totient is φ = 124623360.

The previous prime is 545302799. The next prime is 545302819. The reversal of 545302800 is 8203545.

545302800 is a `hidden beast` number, since 54 + 530 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71994 + ... + 79206.

Almost surely, 2^545302800 is an apocalyptic number.

545302800 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 545302800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109224640).

545302800 is an abundant number, since it is smaller than the sum of its proper divisors (1673146480).

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

545302800 is a wasteful number, since it uses less digits than its factorization.

545302800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7247 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 545302800 is about 23351.7194227748. The cubic root of 545302800 is about 816.9821651095.

The spelling of 545302800 in words is "five hundred forty-five million, three hundred two thousand, eight hundred".