545925600 has 432 divisors, whose sum is σ = 2153393424. Its totient is φ = 129024000.

The previous prime is 545925587. The next prime is 545925659. The reversal of 545925600 is 6529545.

545925600 is a `hidden beast` number, since 5 + 4 + 5 + 92 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4831144 + ... + 4831256.

It is an arithmetic number, because the mean of its divisors is an integer number (4984707).

Almost surely, 2^545925600 is an apocalyptic number.

545925600 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 545925600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076696712).

545925600 is an abundant number, since it is smaller than the sum of its proper divisors (1607467824).

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

545925600 is a wasteful number, since it uses less digits than its factorization.

545925600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 545925600 is about 23365.0508238266. The cubic root of 545925600 is about 817.2930767142.

The spelling of 545925600 in words is "five hundred forty-five million, nine hundred twenty-five thousand, six hundred".