543759480 has 480 divisors, whose sum is σ = 2143587600. Its totient is φ = 123171840.

The previous prime is 543759479. The next prime is 543759481. The reversal of 543759480 is 84957345.

543759480 is a `hidden beast` number, since 54 + 3 + 7 + 594 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (543759479) and next prime (543759481).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (543759481) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7448724 + ... + 7448796.

Almost surely, 2^543759480 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 543759480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071793800).

543759480 is an abundant number, since it is smaller than the sum of its proper divisors (1599828120).

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

543759480 is a wasteful number, since it uses less digits than its factorization.

543759480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 543759480 is about 23318.6509043727. The cubic root of 543759480 is about 816.2106938634.

The spelling of 543759480 in words is "five hundred forty-three million, seven hundred fifty-nine thousand, four hundred eighty".