54830400 has 84 divisors (see below), whose sum is σ = 179905152. Its totient is φ = 14620160.

The previous prime is 54830393. The next prime is 54830437. The reversal of 54830400 is 403845.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 912 + ... + 10511.

It is an arithmetic number, because the mean of its divisors is an integer number (2141728).

Almost surely, 2^54830400 is an apocalyptic number.

54830400 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 54830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89952576).

54830400 is an abundant number, since it is smaller than the sum of its proper divisors (125074752).

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

54830400 is a wasteful number, since it uses less digits than its factorization.

54830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11448 (or 11433 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 54830400 is about 7404.7552289053. The cubic root of 54830400 is about 379.9039461747.

The spelling of 54830400 in words is "fifty-four million, eight hundred thirty thousand, four hundred".