396144567 has 96 divisors (see below), whose sum is σ = 759951360. Its totient is φ = 201942720.

The previous prime is 396144563. The next prime is 396144587. The reversal of 396144567 is 765441693.

It is not a de Polignac number, because 396144567 - 2² = 396144563 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (544320) is a multiple of the sum of its prime factors (810).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396144563) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 532798 + ... + 533540.

It is an arithmetic number, because the mean of its divisors is an integer number (7916160).

Almost surely, 2^396144567 is an apocalyptic number.

396144567 is a deficient number, since it is larger than the sum of its proper divisors (363806793).

396144567 is a wasteful number, since it uses less digits than its factorization.

396144567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 797 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 396144567 is about 19903.3807932220. The cubic root of 396144567 is about 734.4313969714.

The spelling of 396144567 in words is "three hundred ninety-six million, one hundred forty-four thousand, five hundred sixty-seven".