543975040 has 256 divisors, whose sum is σ = 1586304000. Its totient is φ = 174440448.

The previous prime is 543975007. The next prime is 543975041. The reversal of 543975040 is 40579345.

It is not an unprimeable number, because it can be changed into a prime (543975041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6885721 + ... + 6885799.

It is an arithmetic number, because the mean of its divisors is an integer number (6196500).

Almost surely, 2^543975040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 543975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793152000).

543975040 is an abundant number, since it is smaller than the sum of its proper divisors (1042328960).

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

543975040 is a wasteful number, since it uses less digits than its factorization.

543975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 543975040 is about 23323.2724976578. The cubic root of 543975040 is about 816.3185351299.

The spelling of 543975040 in words is "five hundred forty-three million, nine hundred seventy-five thousand, forty".