54054000 has 640 divisors, whose sum is σ = 259983360. Its totient is φ = 10368000.

The previous prime is 54053983. The next prime is 54054017. The reversal of 54054000 is 45045.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54053983) and next prime (54054017).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4157994 + ... + 4158006.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 2^54054000 is an apocalyptic number.

54054000 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 54054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

54054000 is an abundant number, since it is smaller than the sum of its proper divisors (205929360).

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

54054000 is a wasteful number, since it uses less digits than its factorization.

54054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 41 counting only the distinct ones).

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

The square root of 54054000 is about 7352.1425448640. The cubic root of 54054000 is about 378.1022650994.

Adding to 54054000 its reverse (45045), we get a palindrome (54099045).

It can be divided in two parts, 540 and 54000, that multiplied together give a square (29160000 = 5400²).

The spelling of 54054000 in words is "fifty-four million, fifty-four thousand", and thus it is an eban number.