546756480 has 320 divisors, whose sum is σ = 1999404000. Its totient is φ = 142331904.

The previous prime is 546756479. The next prime is 546756491. The reversal of 546756480 is 84657645.

546756480 is a `hidden beast` number, since 5 + 4 + 6 + 7 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2747421 + ... + 2747619.

Almost surely, 2^546756480 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 546756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999702000).

546756480 is an abundant number, since it is smaller than the sum of its proper divisors (1452647520).

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

546756480 is a wasteful number, since it uses less digits than its factorization.

546756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 546756480 is about 23382.8244658339. The cubic root of 546756480 is about 817.7074971983.

The spelling of 546756480 in words is "five hundred forty-six million, seven hundred fifty-six thousand, four hundred eighty".