54390000 has 300 divisors, whose sum is σ = 209764104. Its totient is φ = 12096000.

The previous prime is 54389939. The next prime is 54390001. The reversal of 54390000 is 9345.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54390001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1469982 + ... + 1470018.

Almost surely, 2^54390000 is an apocalyptic number.

54390000 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 54390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104882052).

54390000 is an abundant number, since it is smaller than the sum of its proper divisors (155374104).

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

54390000 is a wasteful number, since it uses less digits than its factorization.

54390000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 54390000 is about 7374.9576269969. The cubic root of 54390000 is about 378.8840760928.

Adding to 54390000 its reverse (9345), we get a palindrome (54399345).

The spelling of 54390000 in words is "fifty-four million, three hundred ninety thousand".