545095200 has 144 divisors (see below), whose sum is σ = 1910877696. Its totient is φ = 134169600.

The previous prime is 545095171. The next prime is 545095217. The reversal of 545095200 is 2590545.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22465 + ... + 39935.

It is an arithmetic number, because the mean of its divisors is an integer number (13269984).

Almost surely, 2^545095200 is an apocalyptic number.

545095200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

545095200 is the 12480-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545095200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955438848).

545095200 is an abundant number, since it is smaller than the sum of its proper divisors (1365782496).

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

545095200 is a wasteful number, since it uses less digits than its factorization.

545095200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17507 (or 17494 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 545095200 is about 23347.2739308040. The cubic root of 545095200 is about 816.8784753031.

The spelling of 545095200 in words is "five hundred forty-five million, ninety-five thousand, two hundred".