54158400 has 126 divisors (see below), whose sum is σ = 192542922. Its totient is φ = 14438400.

The previous prime is 54158389. The next prime is 54158407. The reversal of 54158400 is 485145.

It can be written as a sum of positive squares in 3 ways, for example, as 2663424 + 51494976 = 1632^2 + 7176^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54158407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12520 + ... + 16280.

Almost surely, 2^54158400 is an apocalyptic number.

54158400 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 54158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96271461).

54158400 is an abundant number, since it is smaller than the sum of its proper divisors (138384522).

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

54158400 is a wasteful number, since it uses less digits than its factorization.

54158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 54158400 is about 7359.2390911017. The cubic root of 54158400 is about 378.3455310335.

The spelling of 54158400 in words is "fifty-four million, one hundred fifty-eight thousand, four hundred".