1025224400 has 60 divisors (see below), whose sum is σ = 2472933612. Its totient is φ = 408453120.

The previous prime is 1025224399. The next prime is 1025224429. The reversal of 1025224400 is 44225201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 712336 + 1024512064 = 844^2 + 32008^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 97814 + ... + 107786.

Almost surely, 2^1025224400 is an apocalyptic number.

1025224400 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 1025224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236466806).

1025224400 is an abundant number, since it is smaller than the sum of its proper divisors (1447709212).

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

1025224400 is a wasteful number, since it uses less digits than its factorization.

1025224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10248 (or 10237 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1025224400 is about 32019.1255345926. The cubic root of 1025224400 is about 1008.3384109816.

Adding to 1025224400 its reverse (44225201), we get a palindrome (1069449601).

The spelling of 1025224400 in words is "one billion, twenty-five million, two hundred twenty-four thousand, four hundred".