1305400401 has 8 divisors (see below), whose sum is σ = 1933926560. Its totient is φ = 870266916.

The previous prime is 1305400379. The next prime is 1305400451. The reversal of 1305400401 is 1040045031.

It is a happy number.

It is not a de Polignac number, because 1305400401 - 2¹⁰ = 1305399377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1305400451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24174055 + ... + 24174108.

It is an arithmetic number, because the mean of its divisors is an integer number (241740820).

Almost surely, 2^1305400401 is an apocalyptic number.

It is an amenable number.

1305400401 is a deficient number, since it is larger than the sum of its proper divisors (628526159).

1305400401 is an equidigital number, since it uses as much as digits as its factorization.

1305400401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48348172 (or 48348166 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1305400401 is about 36130.3252268783. The cubic root of 1305400401 is about 1092.9020667862.

Adding to 1305400401 its reverse (1040045031), we get a palindrome (2345445432).

The spelling of 1305400401 in words is "one billion, three hundred five million, four hundred thousand, four hundred one".