378585405 has 72 divisors (see below), whose sum is σ = 752903424. Its totient is φ = 175517760.

The previous prime is 378585397. The next prime is 378585407. The reversal of 378585405 is 504585873.

It is not a de Polignac number, because 378585405 - 2³ = 378585397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378585407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 123724 + ... + 126746.

It is an arithmetic number, because the mean of its divisors is an integer number (10456992).

Almost surely, 2^378585405 is an apocalyptic number.

It is an amenable number.

378585405 is a deficient number, since it is larger than the sum of its proper divisors (374318019).

378585405 is a wasteful number, since it uses less digits than its factorization.

378585405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 378585405 is about 19457.2712629495. The cubic root of 378585405 is about 723.4157431690.

The spelling of 378585405 in words is "three hundred seventy-eight million, five hundred eighty-five thousand, four hundred five".