545781600 has 864 divisors, whose sum is σ = 2559211200. Its totient is φ = 108380160.

The previous prime is 545781589. The next prime is 545781619. The reversal of 545781600 is 6187545.

545781600 = 358² + 359² + ... + 1189².

545781600 is a `hidden beast` number, since 5 + 45 + 7 + 8 + 1 + 600 = 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 143 ways as a sum of consecutive naturals, for example, 32104792 + ... + 32104808.

It is an arithmetic number, because the mean of its divisors is an integer number (2962050).

Almost surely, 2^545781600 is an apocalyptic number.

545781600 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 545781600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279605600).

545781600 is an abundant number, since it is smaller than the sum of its proper divisors (2013429600).

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

545781600 is a wasteful number, since it uses less digits than its factorization.

545781600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 545781600 is about 23361.9690950913. The cubic root of 545781600 is about 817.2212106624.

The spelling of 545781600 in words is "five hundred forty-five million, seven hundred eighty-one thousand, six hundred".