398401601 has 16 divisors (see below), whose sum is σ = 435983184. Its totient is φ = 361857024.

The previous prime is 398401589. The next prime is 398401651. The reversal of 398401601 is 106104893.

It is a happy number.

It is a Cunningham number, because it is equal to 19960²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 150307600 + 248094001 = 12260^2 + 15751^2 .

It is a cyclic number.

It is not a de Polignac number, because 398401601 - 2⁶ = 398401537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (398401651) 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, 242555 + ... + 244191.

It is an arithmetic number, because the mean of its divisors is an integer number (27248949).

Almost surely, 2^398401601 is an apocalyptic number.

It is an amenable number.

398401601 is a deficient number, since it is larger than the sum of its proper divisors (37581583).

398401601 is a wasteful number, since it uses less digits than its factorization.

398401601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940.

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 398401601 is about 19960.0000250501. Note that the first 4 decimals coincide. The cubic root of 398401601 is about 735.8235641832.

The spelling of 398401601 in words is "three hundred ninety-eight million, four hundred one thousand, six hundred one".