385546401 has 48 divisors (see below), whose sum is σ = 606078720. Its totient is φ = 235509120.

The previous prime is 385546397. The next prime is 385546409. The reversal of 385546401 is 104645583.

It is a happy number.

385546401 is a `hidden beast` number, since 3 + 8 + 5 + 5 + 4 + 640 + 1 = 666.

It is not a de Polignac number, because 385546401 - 2² = 385546397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (385546409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543435 + ... + 544143.

It is an arithmetic number, because the mean of its divisors is an integer number (12626640).

Almost surely, 2^385546401 is an apocalyptic number.

It is an amenable number.

385546401 is a deficient number, since it is larger than the sum of its proper divisors (220532319).

385546401 is a wasteful number, since it uses less digits than its factorization.

385546401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 385546401 is about 19635.3355204336. The cubic root of 385546401 is about 727.8226237596.

The spelling of 385546401 in words is "three hundred eighty-five million, five hundred forty-six thousand, four hundred one".