54819400 has 48 divisors (see below), whose sum is σ = 129389040. Its totient is φ = 21595200.

The previous prime is 54819397. The next prime is 54819403. The reversal of 54819400 is 491845.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54819397) and next prime (54819403).

It is not an unprimeable number, because it can be changed into a prime (54819403) 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, 11355 + ... + 15445.

It is an arithmetic number, because the mean of its divisors is an integer number (2695605).

Almost surely, 2^54819400 is an apocalyptic number.

54819400 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 54819400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64694520).

54819400 is an abundant number, since it is smaller than the sum of its proper divisors (74569640).

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

54819400 is a wasteful number, since it uses less digits than its factorization.

54819400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 54819400 is about 7404.0124257054. The cubic root of 54819400 is about 379.8785392052.

The spelling of 54819400 in words is "fifty-four million, eight hundred nineteen thousand, four hundred".