54340900 has 36 divisors (see below), whose sum is σ = 120156372. Its totient is φ = 21324160.

The previous prime is 54340889. The next prime is 54340943. The reversal of 54340900 is 904345.

54340900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3189796 + 51151104 = 1786^2 + 7152^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 174 + ... + 10426.

It is an arithmetic number, because the mean of its divisors is an integer number (3337677).

Almost surely, 2^54340900 is an apocalyptic number.

54340900 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 54340900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60078186).

54340900 is an abundant number, since it is smaller than the sum of its proper divisors (65815472).

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

54340900 is a wasteful number, since it uses less digits than its factorization.

54340900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10320 (or 10313 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 54340900 is about 7371.6280427054. The cubic root of 54340900 is about 378.7700305643.

The spelling of 54340900 in words is "fifty-four million, three hundred forty thousand, nine hundred".