545086900 has 72 divisors (see below), whose sum is σ = 1236405240. Its totient is φ = 208320000.

The previous prime is 545086847. The next prime is 545086909. The reversal of 545086900 is 9680545.

It can be written as a sum of positive squares in 12 ways, for example, as 176677264 + 368409636 = 13292^2 + 19194^2 .

It is a super-2 number, since 2×545086900² = 594239457103220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 545086900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545086909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291970 + ... + 293830.

It is an arithmetic number, because the mean of its divisors is an integer number (17172295).

Almost surely, 2^545086900 is an apocalyptic number.

545086900 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 545086900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618202620).

545086900 is an abundant number, since it is smaller than the sum of its proper divisors (691318340).

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

545086900 is a wasteful number, since it uses less digits than its factorization.

545086900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 545086900 is about 23347.0961791825. The cubic root of 545086900 is about 816.8743291615.

The spelling of 545086900 in words is "five hundred forty-five million, eighty-six thousand, nine hundred".