388129401 has 45 divisors (see below), whose sum is σ = 640517493. Its totient is φ = 234047880.

The previous prime is 388129373. The next prime is 388129421. The reversal of 388129401 is 104921883.

388129401 = 1³ + 2³ + ... + 198³.

The square root of 388129401 is 19701.

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

It is not a de Polignac number, because 388129401 - 2⁹ = 388128889 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (388129421) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1950300 + ... + 1950498.

Almost surely, 2^388129401 is an apocalyptic number.

388129401 is the 19701-st square number.

388129401 is the 9851-st centered octagonal number.

It is an amenable number.

388129401 is a deficient number, since it is larger than the sum of its proper divisors (252388092).

388129401 is an equidigital number, since it uses as much as digits as its factorization.

388129401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The cubic root of 388129401 is about 729.4443767316. Note that the first 3 decimals are identical.

Multiplying 388129401 by its sum of digits (36), we get a square (13972658436 = 118206²).

The spelling of 388129401 in words is "three hundred eighty-eight million, one hundred twenty-nine thousand, four hundred one".