1398834801 has 81 divisors (see below), whose sum is σ = 2563845921. Its totient is φ = 732461184.

The previous prime is 1398834799. The next prime is 1398834869. The reversal of 1398834801 is 1084388931.

1398834801 = 1³ + 2³ + ... + 273³.

The square root of 1398834801 is 37401.

It is a perfect power (a square), and thus also a powerful number.

1398834801 is a `hidden beast` number, since 1 + 3 + 98 + 83 + 480 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 124344801 + 1274490000 = 11151^2 + 35700^2 .

It is not a de Polignac number, because 1398834801 - 2¹ = 1398834799 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1398834301) 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 80 ways as a sum of consecutive naturals, for example, 10210405 + ... + 10210541.

Almost surely, 2^1398834801 is an apocalyptic number.

1398834801 is the 37401-st square number.

1398834801 is the 18701-st centered octagonal number.

It is an amenable number.

1398834801 is a deficient number, since it is larger than the sum of its proper divisors (1165011120).

1398834801 is a wasteful number, since it uses less digits than its factorization.

1398834801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The cubic root of 1398834801 is about 1118.3784999313.

The spelling of 1398834801 in words is "one billion, three hundred ninety-eight million, eight hundred thirty-four thousand, eight hundred one".