545752800 has 216 divisors, whose sum is σ = 1938704040. Its totient is φ = 144460800.

The previous prime is 545752759. The next prime is 545752817. The reversal of 545752800 is 8257545.

It is a happy number.

545752800 is a `hidden beast` number, since 5 + 4 + 575 + 2 + 80 + 0 = 666.

It is a super-2 number, since 2×545752800² = 595692237415680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1648635 + ... + 1648965.

Almost surely, 2^545752800 is an apocalyptic number.

545752800 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 545752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969352020).

545752800 is an abundant number, since it is smaller than the sum of its proper divisors (1392951240).

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

545752800 is a wasteful number, since it uses less digits than its factorization.

545752800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 545752800 is about 23361.3527005608. The cubic root of 545752800 is about 817.2068359352.

It can be divided in two parts, 54575 and 2800, that added together give a palindrome (57375).

The spelling of 545752800 in words is "five hundred forty-five million, seven hundred fifty-two thousand, eight hundred".