1305150400 has 84 divisors (see below), whose sum is σ = 3257001360. Its totient is φ = 514662400.

The previous prime is 1305150373. The next prime is 1305150403. The reversal of 1305150400 is 40515031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305150403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107856 + ... + 119344.

Almost surely, 2^1305150400 is an apocalyptic number.

1305150400 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 1305150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628500680).

1305150400 is an abundant number, since it is smaller than the sum of its proper divisors (1951850960).

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

1305150400 is a wasteful number, since it uses less digits than its factorization.

1305150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11582 (or 11567 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 1305150400 is about 36126.8653497643. The cubic root of 1305150400 is about 1092.8322940551.

Adding to 1305150400 its reverse (40515031), we get a palindrome (1345665431).

The spelling of 1305150400 in words is "one billion, three hundred five million, one hundred fifty thousand, four hundred".