54401020 has 72 divisors (see below), whose sum is σ = 125837712. Its totient is φ = 19676160.

The previous prime is 54400993. The next prime is 54401021. The reversal of 54401020 is 2010445.

It is a junction number, because it is equal to n+sod(n) for n = 54400985 and 54401003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54401021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 891790 + ... + 891850.

It is an arithmetic number, because the mean of its divisors is an integer number (1747746).

Almost surely, 2^54401020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62918856).

54401020 is an abundant number, since it is smaller than the sum of its proper divisors (71436692).

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

54401020 is a wasteful number, since it uses less digits than its factorization.

54401020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 54401020 is about 7375.7047120936. The cubic root of 54401020 is about 378.9096630302.

Adding to 54401020 its reverse (2010445), we get a palindrome (56411465).

The spelling of 54401020 in words is "fifty-four million, four hundred one thousand, twenty".