54301920 has 192 divisors, whose sum is σ = 182891520. Its totient is φ = 13518848.

The previous prime is 54301883. The next prime is 54301921. The reversal of 54301920 is 2910345.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54301921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654199 + ... + 654281.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 2^54301920 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 54301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

54301920 is an abundant number, since it is smaller than the sum of its proper divisors (128589600).

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

54301920 is a wasteful number, since it uses less digits than its factorization.

54301920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 54301920 is about 7368.9836476953. The cubic root of 54301920 is about 378.6794420297.

The spelling of 54301920 in words is "fifty-four million, three hundred one thousand, nine hundred twenty".