54071400 has 96 divisors (see below), whose sum is σ = 168783840. Its totient is φ = 14319360.

The previous prime is 54071387. The next prime is 54071419. The reversal of 54071400 is 417045.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136002 + ... + 136398.

It is an arithmetic number, because the mean of its divisors is an integer number (1758165).

Almost surely, 2^54071400 is an apocalyptic number.

54071400 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 54071400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84391920).

54071400 is an abundant number, since it is smaller than the sum of its proper divisors (114712440).

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

54071400 is a wasteful number, since it uses less digits than its factorization.

54071400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 54071400 is about 7353.3257781768. The cubic root of 54071400 is about 378.1428311606.

Adding to 54071400 its reverse (417045), we get a palindrome (54488445).

The spelling of 54071400 in words is "fifty-four million, seventy-one thousand, four hundred".