545292000 has 672 divisors, whose sum is σ = 2320272864. Its totient is φ = 124416000.

The previous prime is 545291947. The next prime is 545292023. The reversal of 545292000 is 292545.

545292000 is a `hidden beast` number, since 5 + 452 + 9 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 32075992 + ... + 32076008.

It is an arithmetic number, because the mean of its divisors is an integer number (3452787).

Almost surely, 2^545292000 is an apocalyptic number.

545292000 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 545292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160136432).

545292000 is an abundant number, since it is smaller than the sum of its proper divisors (1774980864).

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

545292000 is a wasteful number, since it uses less digits than its factorization.

545292000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 545292000 is about 23351.4881752748. The cubic root of 545292000 is about 816.9767714911.

The spelling of 545292000 in words is "five hundred forty-five million, two hundred ninety-two thousand".