57444000 has 96 divisors (see below), whose sum is σ = 188225856. Its totient is φ = 15315200.

The previous prime is 57443999. The next prime is 57444007. The reversal of 57444000 is 44475.

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 (57444007) 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 15 ways as a sum of consecutive naturals, for example, 9607 + ... + 14393.

It is an arithmetic number, because the mean of its divisors is an integer number (1960686).

Almost surely, 2^57444000 is an apocalyptic number.

57444000 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 57444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94112928).

57444000 is an abundant number, since it is smaller than the sum of its proper divisors (130781856).

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

57444000 is a wasteful number, since it uses less digits than its factorization.

57444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4797 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 57444000 is about 7579.1820139115. The cubic root of 57444000 is about 385.8467896708.

Adding to 57444000 its reverse (44475), we get a palindrome (57488475).

The spelling of 57444000 in words is "fifty-seven million, four hundred forty-four thousand".