1003250400 has 144 divisors (see below), whose sum is σ = 3291539328. Its totient is φ = 265408000.

The previous prime is 1003250399. The next prime is 1003250411. The reversal of 1003250400 is 40523001.

1003250400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1003250400² = 2013022730200320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1003250400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312805 + ... + 315995.

It is an arithmetic number, because the mean of its divisors is an integer number (22857912).

Almost surely, 2^1003250400 is an apocalyptic number.

1003250400 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 1003250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645769664).

1003250400 is an abundant number, since it is smaller than the sum of its proper divisors (2288288928).

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

1003250400 is a wasteful number, since it uses less digits than its factorization.

1003250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1003250400 is about 31674.1282437260. The cubic root of 1003250400 is about 1001.0822948819.

Adding to 1003250400 its reverse (40523001), we get a palindrome (1043773401).

The spelling of 1003250400 in words is "one billion, three million, two hundred fifty thousand, four hundred".