545461200 has 90 divisors (see below), whose sum is σ = 1892914374. Its totient is φ = 145455360.

The previous prime is 545461199. The next prime is 545461237. The reversal of 545461200 is 2164545.

545461200 is a `hidden beast` number, since 5 + 45 + 4 + 612 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 177742224 + 367718976 = 13332^2 + 19176^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72159 + ... + 79358.

Almost surely, 2^545461200 is an apocalyptic number.

545461200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

545461200 is an abundant number, since it is smaller than the sum of its proper divisors (1347453174).

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

545461200 is a wasteful number, since it uses less digits than its factorization.

545461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151541 (or 151527 counting only the distinct ones).

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

The square root of 545461200 is about 23355.1107897180. The cubic root of 545461200 is about 817.0612633320.

The spelling of 545461200 in words is "five hundred forty-five million, four hundred sixty-one thousand, two hundred".