1250400320 has 112 divisors (see below), whose sum is σ = 3395368368. Its totient is φ = 434503680.

The previous prime is 1250400299. The next prime is 1250400373. The reversal of 1250400320 is 230040521.

It is a Cunningham number, because it is equal to 35361²-1.

It can be written as a sum of positive squares in 8 ways, for example, as 68690944 + 1181709376 = 8288^2 + 34376^2 .

It is a super-2 number, since 2×1250400320² = 3127001920512204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61880 + ... + 79560.

It is an arithmetic number, because the mean of its divisors is an integer number (30315789).

Almost surely, 2^1250400320 is an apocalyptic number.

1250400320 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 1250400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697684184).

1250400320 is an abundant number, since it is smaller than the sum of its proper divisors (2144968048).

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

1250400320 is a wasteful number, since it uses less digits than its factorization.

1250400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17728 (or 17718 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 1250400320 is about 35360.9999858601. Note that the first 4 decimals coincide. The cubic root of 1250400320 is about 1077.3323278482.

Adding to 1250400320 its reverse (230040521), we get a palindrome (1480440841).

The spelling of 1250400320 in words is "one billion, two hundred fifty million, four hundred thousand, three hundred twenty".