53444000 has 96 divisors (see below), whose sum is σ = 135862272. Its totient is φ = 20640000.

The previous prime is 53443931. The next prime is 53444009. The reversal of 53444000 is 44435.

It is a happy number.

It is a super-2 number, since 2×53444000² = 5712522272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (53444009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123785 + ... + 124215.

It is an arithmetic number, because the mean of its divisors is an integer number (1415232).

Almost surely, 2^53444000 is an apocalyptic number.

53444000 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 53444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67931136).

53444000 is an abundant number, since it is smaller than the sum of its proper divisors (82418272).

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

53444000 is a wasteful number, since it uses less digits than its factorization.

53444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 53444000 is about 7310.5403357071. The cubic root of 53444000 is about 376.6745849833.

Adding to 53444000 its reverse (44435), we get a palindrome (53488435).

The spelling of 53444000 in words is "fifty-three million, four hundred forty-four thousand".