546416640 has 648 divisors, whose sum is σ = 2421447210. Its totient is φ = 113541120.

The previous prime is 546416627. The next prime is 546416659. The reversal of 546416640 is 46614645.

546416640 is a `hidden beast` number, since 5 + 4 + 6 + 4 + 1 + 6 + 640 = 666.

It can be written as a sum of positive squares in only one way, i.e., 491774976 + 54641664 = 22176^2 + 7392^2 .

It is a super-2 number, since 2×546416640² = 597142288937779200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 546416595 and 546416604.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 49674235 + ... + 49674245.

Almost surely, 2^546416640 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 546416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210723605).

546416640 is an abundant number, since it is smaller than the sum of its proper divisors (1875030570).

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

546416640 is a wasteful number, since it uses less digits than its factorization.

546416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 546416640 is about 23375.5564639647. The cubic root of 546416640 is about 817.5380449707.

The spelling of 546416640 in words is "five hundred forty-six million, four hundred sixteen thousand, six hundred forty".