54546400 has 72 divisors (see below), whose sum is σ = 136491264. Its totient is φ = 21273600.

The previous prime is 54546379. The next prime is 54546407. The reversal of 54546400 is 464545.

It is a hoax number, since the sum of its digits (28) 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 (54546407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 31969 + ... + 33631.

It is an arithmetic number, because the mean of its divisors is an integer number (1895712).

Almost surely, 2^54546400 is an apocalyptic number.

54546400 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 54546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245632).

54546400 is an abundant number, since it is smaller than the sum of its proper divisors (81944864).

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

54546400 is a wasteful number, since it uses less digits than its factorization.

54546400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 54546400 is about 7385.5534660579. The cubic root of 54546400 is about 379.2468925494.

It can be divided in two parts, 54546 and 400, that added together give a triangular number (54946 = T₃₃₁).

The spelling of 54546400 in words is "fifty-four million, five hundred forty-six thousand, four hundred".