393147144 has 48 divisors (see below), whose sum is σ = 1146681900. Its totient is φ = 120968064.

The previous prime is 393147133. The next prime is 393147173. The reversal of 393147144 is 441741393.

It can be written as a sum of positive squares in 2 ways, for example, as 328987044 + 64160100 = 18138^2 + 8010^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 393147099 and 393147108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209079 + ... + 210950.

Almost surely, 2^393147144 is an apocalyptic number.

It is an amenable number.

393147144 is an abundant number, since it is smaller than the sum of its proper divisors (753534756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

393147144 is a wasteful number, since it uses less digits than its factorization.

393147144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420054 (or 420047 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 393147144 is about 19827.9384707538. The cubic root of 393147144 is about 732.5743499102.

The spelling of 393147144 in words is "three hundred ninety-three million, one hundred forty-seven thousand, one hundred forty-four".