54405000 has 320 divisors, whose sum is σ = 209932800. Its totient is φ = 12960000.

The previous prime is 54404993. The next prime is 54405007. The reversal of 54405000 is 50445.

It is a happy number.

54405000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54404993) and next prime (54405007).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54405007) 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 79 ways as a sum of consecutive naturals, for example, 1754985 + ... + 1755015.

It is an arithmetic number, because the mean of its divisors is an integer number (656040).

Almost surely, 2^54405000 is an apocalyptic number.

54405000 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 54405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104966400).

54405000 is an abundant number, since it is smaller than the sum of its proper divisors (155527800).

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

54405000 is a wasteful number, since it uses less digits than its factorization.

54405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 54405000 is about 7375.9745118865. The cubic root of 54405000 is about 378.9189031981.

Adding to 54405000 its reverse (50445), we get a palindrome (54455445).

It can be divided in two parts, 5440 and 5000, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 54405000 in words is "fifty-four million, four hundred five thousand".