545968800 has 432 divisors, whose sum is σ = 2189547360. Its totient is φ = 126904320.

The previous prime is 545968799. The next prime is 545968811. The reversal of 545968800 is 8869545.

545968800 is a `hidden beast` number, since 54 + 596 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1778247 + ... + 1778553.

Almost surely, 2^545968800 is an apocalyptic number.

545968800 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 545968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094773680).

545968800 is an abundant number, since it is smaller than the sum of its proper divisors (1643578560).

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

545968800 is a wasteful number, since it uses less digits than its factorization.

545968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 545968800 is about 23365.9752631899. The cubic root of 545968800 is about 817.3146340654.

The spelling of 545968800 in words is "five hundred forty-five million, nine hundred sixty-eight thousand, eight hundred".