1434444000 has 192 divisors, whose sum is σ = 5126913792. Its totient is φ = 347712000.

The previous prime is 1434443981. The next prime is 1434444017. The reversal of 1434444000 is 4444341.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 126567 + ... + 137433.

It is an arithmetic number, because the mean of its divisors is an integer number (26702676).

Almost surely, 2^1434444000 is an apocalyptic number.

1434444000 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 1434444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563456896).

1434444000 is an abundant number, since it is smaller than the sum of its proper divisors (3692469792).

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

1434444000 is a wasteful number, since it uses less digits than its factorization.

1434444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10906 (or 10888 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1434444000 is about 37874.0544436426. The cubic root of 1434444000 is about 1127.7890305112.

Adding to 1434444000 its reverse (4444341), we get a palindrome (1438888341).

The spelling of 1434444000 in words is "one billion, four hundred thirty-four million, four hundred forty-four thousand".