54445824 has 72 divisors (see below), whose sum is σ = 161026320. Its totient is φ = 18146304.

The previous prime is 54445823. The next prime is 54445829. The reversal of 54445824 is 42854445.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54445823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2974 + ... + 10850.

Almost surely, 2^54445824 is an apocalyptic number.

54445824 is a gapful number since it is divisible by the number (54) 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 54445824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80513160).

54445824 is an abundant number, since it is smaller than the sum of its proper divisors (106580496).

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

54445824 is an equidigital number, since it uses as much as digits as its factorization.

54445824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7902 (or 7882 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

The square root of 54445824 is about 7378.7413560851. The cubic root of 54445824 is about 379.0136562401.

The spelling of 54445824 in words is "fifty-four million, four hundred forty-five thousand, eight hundred twenty-four".