1398413205 has 144 divisors (see below), whose sum is σ = 3073075200. Its totient is φ = 584236800.

The previous prime is 1398413189. The next prime is 1398413209. The reversal of 1398413205 is 5023148931.

1398413205 = T₉₈₀₆ + T₉₈₀₇ + ... + T₉₈₃₄.

1398413205 is a `hidden beast` number, since 1 + 39 + 8 + 413 + 205 = 666.

It is not a de Polignac number, because 1398413205 - 2⁴ = 1398413189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1398413205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398413209) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1214380 + ... + 1215530.

It is an arithmetic number, because the mean of its divisors is an integer number (21340800).

Almost surely, 2^1398413205 is an apocalyptic number.

1398413205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1398413205 is an abundant number, since it is smaller than the sum of its proper divisors (1674661995).

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

1398413205 is a wasteful number, since it uses less digits than its factorization.

1398413205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1398413205 is about 37395.3634158033. The cubic root of 1398413205 is about 1118.2661322954.

The spelling of 1398413205 in words is "one billion, three hundred ninety-eight million, four hundred thirteen thousand, two hundred five".