545634000 has 120 divisors (see below), whose sum is σ = 1905780552. Its totient is φ = 145497600.

The previous prime is 545633987. The next prime is 545634029. The reversal of 545634000 is 436545.

It can be written as a sum of positive squares in 4 ways, for example, as 318096 + 545315904 = 564^2 + 23352^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 2844 + ... + 33156.

Almost surely, 2^545634000 is an apocalyptic number.

545634000 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 545634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952890276).

545634000 is an abundant number, since it is smaller than the sum of its proper divisors (1360146552).

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

545634000 is a wasteful number, since it uses less digits than its factorization.

545634000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30342 (or 30323 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 545634000 is about 23358.8099011915. The cubic root of 545634000 is about 817.1475348393.

The spelling of 545634000 in words is "five hundred forty-five million, six hundred thirty-four thousand".