54009000 has 192 divisors, whose sum is σ = 193836240. Its totient is φ = 13516800.

The previous prime is 54008987. The next prime is 54009019. The reversal of 54009000 is 90045.

It can be written as a sum of positive squares in 8 ways, for example, as 4137156 + 49871844 = 2034^2 + 7062^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 152824 + ... + 153176.

Almost surely, 2^54009000 is an apocalyptic number.

54009000 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 54009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96918120).

54009000 is an abundant number, since it is smaller than the sum of its proper divisors (139827240).

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

54009000 is a wasteful number, since it uses less digits than its factorization.

54009000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 54009000 is about 7349.0815752718. The cubic root of 54009000 is about 377.9973124861.

Adding to 54009000 its reverse (90045), we get a palindrome (54099045).

It can be divided in two parts, 5400 and 9000, that added together give a square (14400 = 120²).

The spelling of 54009000 in words is "fifty-four million, nine thousand".