39466401 has 48 divisors (see below), whose sum is σ = 63771840. Its totient is φ = 21565440.

The previous prime is 39466391. The next prime is 39466421. The reversal of 39466401 is 10466493.

It is not a de Polignac number, because 39466401 - 2⁶ = 39466337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (39466421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163641 + ... + 163881.

It is an arithmetic number, because the mean of its divisors is an integer number (1328580).

Almost surely, 2^39466401 is an apocalyptic number.

It is an amenable number.

39466401 is a deficient number, since it is larger than the sum of its proper divisors (24305439).

39466401 is a wasteful number, since it uses less digits than its factorization.

39466401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 39466401 is about 6282.2289834103. The cubic root of 39466401 is about 340.4676408190.

It can be divided in two parts, 394 and 66401, that added together give a triangular number (66795 = T₃₆₅).

The spelling of 39466401 in words is "thirty-nine million, four hundred sixty-six thousand, four hundred one".