54252000 has 288 divisors, whose sum is σ = 211577184. Its totient is φ = 13056000.

The previous prime is 54251999. The next prime is 54252001. The reversal of 54252000 is 25245.

It is an interprime number because it is at equal distance from previous prime (54251999) and next prime (54252001).

It is a tau number, because it is divible by the number of its divisors (288).

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 (54252001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395932 + ... + 396068.

It is an arithmetic number, because the mean of its divisors is an integer number (734643).

Almost surely, 2^54252000 is an apocalyptic number.

54252000 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 54252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105788592).

54252000 is an abundant number, since it is smaller than the sum of its proper divisors (157325184).

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

54252000 is a wasteful number, since it uses less digits than its factorization.

54252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 158 counting only the distinct ones).

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

The square root of 54252000 is about 7365.5956989235. The cubic root of 54252000 is about 378.5633658796.

Adding to 54252000 its reverse (25245), we get a palindrome (54277245).

The spelling of 54252000 in words is "fifty-four million, two hundred fifty-two thousand".