1328400417 has 16 divisors (see below), whose sum is σ = 1880978112. Its totient is φ = 831022080.

The previous prime is 1328400407. The next prime is 1328400431. The reversal of 1328400417 is 7140048231.

It is not a de Polignac number, because 1328400417 - 2⁴ = 1328400401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1328400407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21459 + ... + 55832.

It is an arithmetic number, because the mean of its divisors is an integer number (117561132).

Almost surely, 2^1328400417 is an apocalyptic number.

1328400417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1328400417 is a deficient number, since it is larger than the sum of its proper divisors (552577695).

1328400417 is a wasteful number, since it uses less digits than its factorization.

1328400417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77648.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1328400417 is about 36447.2278369700. The cubic root of 1328400417 is about 1099.2833946946.

Adding to 1328400417 its reverse (7140048231), we get a palindrome (8468448648).

The spelling of 1328400417 in words is "one billion, three hundred twenty-eight million, four hundred thousand, four hundred seventeen".