1031424400 has 120 divisors (see below), whose sum is σ = 2565085824. Its totient is φ = 398323200.

The previous prime is 1031424389. The next prime is 1031424409. The reversal of 1031424400 is 44241301.

1031424400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031424409) 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, 1560070 + ... + 1560730.

Almost surely, 2^1031424400 is an apocalyptic number.

1031424400 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 1031424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282542912).

1031424400 is an abundant number, since it is smaller than the sum of its proper divisors (1533661424).

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

1031424400 is a wasteful number, since it uses less digits than its factorization.

1031424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1031424400 is about 32115.7967361858. The cubic root of 1031424400 is about 1010.3669548552.

Adding to 1031424400 its reverse (44241301), we get a palindrome (1075665701).

The spelling of 1031424400 in words is "one billion, thirty-one million, four hundred twenty-four thousand, four hundred".