545689600 has 117 divisors (see below), whose sum is σ = 1371935163. Its totient is φ = 215285760.

The previous prime is 545689583. The next prime is 545689657. The reversal of 545689600 is 6986545.

545689600 = 2698² + 2699² + ... + 2770².

The square root of 545689600 is 23360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 542703616 = 1728^2 + 23296^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7475164 + ... + 7475236.

Almost surely, 2^545689600 is an apocalyptic number.

545689600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

545689600 is the 23360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545689600

545689600 is an abundant number, since it is smaller than the sum of its proper divisors (826245563).

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

545689600 is an frugal number, since it uses more digits than its factorization.

545689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The cubic root of 545689600 is about 817.1752896223.

The spelling of 545689600 in words is "five hundred forty-five million, six hundred eighty-nine thousand, six hundred".