54495306 has 48 divisors (see below), whose sum is σ = 125923200. Its totient is φ = 16982784.

The previous prime is 54495293. The next prime is 54495307. The reversal of 54495306 is 60359445.

54495306 = 809² + 810² + ... + 884².

It is a happy number.

54495306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54495307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26010 + ... + 28026.

It is an arithmetic number, because the mean of its divisors is an integer number (2623400).

Almost surely, 2^54495306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54495306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62961600).

54495306 is an abundant number, since it is smaller than the sum of its proper divisors (71427894).

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

54495306 is a wasteful number, since it uses less digits than its factorization.

54495306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 54495306 is about 7382.0936054753. The cubic root of 54495306 is about 379.1284411383.

The spelling of 54495306 in words is "fifty-four million, four hundred ninety-five thousand, three hundred six".