54142400 has 168 divisors, whose sum is σ = 152125680. Its totient is φ = 18800640.

The previous prime is 54142373. The next prime is 54142411. The reversal of 54142400 is 424145.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395132 + ... + 395268.

It is an arithmetic number, because the mean of its divisors is an integer number (905510).

Almost surely, 2^54142400 is an apocalyptic number.

54142400 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 54142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76062840).

54142400 is an abundant number, since it is smaller than the sum of its proper divisors (97983280).

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

54142400 is a wasteful number, since it uses less digits than its factorization.

54142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 54142400 is about 7358.1519418941. The cubic root of 54142400 is about 378.3082691946.

Adding to 54142400 its reverse (424145), we get a palindrome (54566545).

The spelling of 54142400 in words is "fifty-four million, one hundred forty-two thousand, four hundred".