54460320 has 96 divisors (see below), whose sum is σ = 179044992. Its totient is φ = 13888512.

The previous prime is 54460319. The next prime is 54460321. The reversal of 54460320 is 2306445.

It is an interprime number because it is at equal distance from previous prime (54460319) and next prime (54460321).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (54460321) 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 15 ways as a sum of consecutive naturals, for example, 8574 + ... + 13506.

It is an arithmetic number, because the mean of its divisors is an integer number (1865052).

Almost surely, 2^54460320 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 54460320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89522496).

54460320 is an abundant number, since it is smaller than the sum of its proper divisors (124584672).

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

54460320 is a wasteful number, since it uses less digits than its factorization.

54460320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 54460320 is about 7379.7235720588. The cubic root of 54460320 is about 379.0472902517.

Adding to 54460320 its reverse (2306445), we get a palindrome (56766765).

The spelling of 54460320 in words is "fifty-four million, four hundred sixty thousand, three hundred twenty".