543406464 has 96 divisors (see below), whose sum is σ = 1631775600. Its totient is φ = 173251584.

The previous prime is 543406463. The next prime is 543406481. The reversal of 543406464 is 464604345.

543406464 is a `hidden beast` number, since 5 + 4 + 3 + 4 + 0 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (543406463) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16242 + ... + 36750.

Almost surely, 2^543406464 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 543406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815887800).

543406464 is an abundant number, since it is smaller than the sum of its proper divisors (1088369136).

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

543406464 is a wasteful number, since it uses less digits than its factorization.

543406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20552 (or 20537 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 543406464 is about 23311.0802838479. The cubic root of 543406464 is about 816.0340239562.

The spelling of 543406464 in words is "five hundred forty-three million, four hundred six thousand, four hundred sixty-four".