1023444000 has 144 divisors (see below), whose sum is σ = 3632330520. Its totient is φ = 272908800.

The previous prime is 1023443999. The next prime is 1023444001. The reversal of 1023444000 is 4443201.

It is an interprime number because it is at equal distance from previous prime (1023443999) and next prime (1023444001).

It can be written as a sum of positive squares in 4 ways, for example, as 227527056 + 795916944 = 15084^2 + 28212^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1023444000² = 2094875242272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1023444001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21786 + ... + 50214.

Almost surely, 2^1023444000 is an apocalyptic number.

1023444000 is a gapful number since it is divisible by the number (10) 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 1023444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816165260).

1023444000 is an abundant number, since it is smaller than the sum of its proper divisors (2608886520).

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

1023444000 is a wasteful number, since it uses less digits than its factorization.

1023444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28460 (or 28439 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1023444000 is about 31991.3113204195. The cubic root of 1023444000 is about 1007.7543808200.

Adding to 1023444000 its reverse (4443201), we get a palindrome (1027887201).

The spelling of 1023444000 in words is "one billion, twenty-three million, four hundred forty-four thousand".