546071040 has 240 divisors, whose sum is σ = 1916013528. Its totient is φ = 143720448.

The previous prime is 546071023. The next prime is 546071047. The reversal of 546071040 is 40170645.

546071040 is a `hidden beast` number, since 5 + 4 + 607 + 10 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 528632064 + 17438976 = 22992^2 + 4176^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 546070995 and 546071013.

It is not an unprimeable number, because it can be changed into a prime (546071047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3156394 + ... + 3156566.

Almost surely, 2^546071040 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 546071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958006764).

546071040 is an abundant number, since it is smaller than the sum of its proper divisors (1369942488).

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

546071040 is a wasteful number, since it uses less digits than its factorization.

546071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 546071040 is about 23368.1629573229. The cubic root of 546071040 is about 817.3656486000.

The spelling of 546071040 in words is "five hundred forty-six million, seventy-one thousand, forty".