54042400 has 72 divisors (see below), whose sum is σ = 135085104. Its totient is φ = 21100800.

The previous prime is 54042377. The next prime is 54042421. The reversal of 54042400 is 424045.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33615 + ... + 35185.

It is an arithmetic number, because the mean of its divisors is an integer number (1876182).

Almost surely, 2^54042400 is an apocalyptic number.

54042400 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 54042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67542552).

54042400 is an abundant number, since it is smaller than the sum of its proper divisors (81042704).

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

54042400 is a wasteful number, since it uses less digits than its factorization.

54042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 54042400 is about 7351.3536168518. The cubic root of 54042400 is about 378.0752162220.

Adding to 54042400 its reverse (424045), we get a palindrome (54466445).

The spelling of 54042400 in words is "fifty-four million, forty-two thousand, four hundred".