54306400 has 36 divisors (see below), whose sum is σ = 132577452. Its totient is φ = 21722240.

The previous prime is 54306383. The next prime is 54306403. The reversal of 54306400 is 460345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54306403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33142 + ... + 34741.

It is an arithmetic number, because the mean of its divisors is an integer number (3682707).

Almost surely, 2^54306400 is an apocalyptic number.

54306400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54306400 is an abundant number, since it is smaller than the sum of its proper divisors (78271052).

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

54306400 is a wasteful number, since it uses less digits than its factorization.

54306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67903 (or 67890 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 54306400 is about 7369.2876182166. The cubic root of 54306400 is about 378.6898556409.

Adding to 54306400 its reverse (460345), we get a palindrome (54766745).

The spelling of 54306400 in words is "fifty-four million, three hundred six thousand, four hundred".