54001350 has 192 divisors, whose sum is σ = 170614080. Its totient is φ = 12441600.

The previous prime is 54001313. The next prime is 54001351. The reversal of 54001350 is 5310045.

It is a super-2 number, since 2×54001350² = 5832291603645000, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54001351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 298260 + ... + 298440.

It is an arithmetic number, because the mean of its divisors is an integer number (888615).

Almost surely, 2^54001350 is an apocalyptic number.

54001350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54001350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

54001350 is an abundant number, since it is smaller than the sum of its proper divisors (116612730).

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

54001350 is a wasteful number, since it uses less digits than its factorization.

54001350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 54001350 is about 7348.5610836408. The cubic root of 54001350 is about 377.9794647448.

Adding to 54001350 its reverse (5310045), we get a palindrome (59311395).

It can be divided in two parts, 5400 and 1350, that multiplied together give a square (7290000 = 2700²).

The spelling of 54001350 in words is "fifty-four million, one thousand, three hundred fifty".