545740800 has 576 divisors, whose sum is σ = 2193609600. Its totient is φ = 117964800.

The previous prime is 545740777. The next prime is 545740801. The reversal of 545740800 is 8047545.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545740801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28723191 + ... + 28723209.

It is an arithmetic number, because the mean of its divisors is an integer number (3808350).

Almost surely, 2^545740800 is an apocalyptic number.

545740800 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 545740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096804800).

545740800 is an abundant number, since it is smaller than the sum of its proper divisors (1647868800).

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

545740800 is a wasteful number, since it uses less digits than its factorization.

545740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 545740800 is about 23361.0958647063. The cubic root of 545740800 is about 817.2008463163.

The spelling of 545740800 in words is "five hundred forty-five million, seven hundred forty thousand, eight hundred".