546957456 has 80 divisors (see below), whose sum is σ = 1524438144. Its totient is φ = 168343552.

The previous prime is 546957451. The next prime is 546957491. The reversal of 546957456 is 654759645.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 546957399 and 546957408.

It is not an unprimeable number, because it can be changed into a prime (546957451) 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 15 ways as a sum of consecutive naturals, for example, 36925 + ... + 49571.

Almost surely, 2^546957456 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 546957456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762219072).

546957456 is an abundant number, since it is smaller than the sum of its proper divisors (977480688).

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

546957456 is a wasteful number, since it uses less digits than its factorization.

546957456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12728 (or 12722 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 51.

The square root of 546957456 is about 23387.1215843250. The cubic root of 546957456 is about 817.8076755264.

The spelling of 546957456 in words is "five hundred forty-six million, nine hundred fifty-seven thousand, four hundred fifty-six".