368678401 has 27 divisors (see below), whose sum is σ = 466609923. Its totient is φ = 290319120.

The previous prime is 368678399. The next prime is 368678407. The reversal of 368678401 is 104876863.

The square root of 368678401 is 19201.

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

It can be written as a sum of positive squares in only one way, i.e., 54538225 + 314140176 = 7385^2 + 17724^2 .

It is not a de Polignac number, because 368678401 - 2¹ = 368678399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (368678407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1747186 + ... + 1747396.

It is an arithmetic number, because the mean of its divisors is an integer number (17281849).

Almost surely, 2^368678401 is an apocalyptic number.

368678401 is the 19201-st square number.

368678401 is the 9601-st centered octagonal number.

It is an amenable number.

368678401 is a deficient number, since it is larger than the sum of its proper divisors (97931522).

368678401 is an equidigital number, since it uses as much as digits as its factorization.

368678401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The cubic root of 368678401 is about 717.0496559261.

The spelling of 368678401 in words is "three hundred sixty-eight million, six hundred seventy-eight thousand, four hundred one".