54952300 has 72 divisors (see below), whose sum is σ = 131679072. Its totient is φ = 19776000.

The previous prime is 54952297. The next prime is 54952301. The reversal of 54952300 is 325945.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (54952301) 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 23 ways as a sum of consecutive naturals, for example, 52785 + ... + 53815.

It is an arithmetic number, because the mean of its divisors is an integer number (1828876).

Almost surely, 2^54952300 is an apocalyptic number.

54952300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54952300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65839536).

54952300 is an abundant number, since it is smaller than the sum of its proper divisors (76726772).

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

54952300 is a wasteful number, since it uses less digits than its factorization.

54952300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 54952300 is about 7412.9818561764. The cubic root of 54952300 is about 380.1852743798.

The spelling of 54952300 in words is "fifty-four million, nine hundred fifty-two thousand, three hundred".