393535164 has 48 divisors (see below), whose sum is σ = 1005540480. Its totient is φ = 118799040.

The previous prime is 393535157. The next prime is 393535199. The reversal of 393535164 is 461535393.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29967 + ... + 41049.

It is an arithmetic number, because the mean of its divisors is an integer number (20948760).

Almost surely, 2^393535164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393535164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502770240).

393535164 is an abundant number, since it is smaller than the sum of its proper divisors (612005316).

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

393535164 is a wasteful number, since it uses less digits than its factorization.

393535164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11370 (or 11368 counting only the distinct ones).

The product of its digits is 145800, while the sum is 39.

The square root of 393535164 is about 19837.7207360120. The cubic root of 393535164 is about 732.8152775453.

It can be divided in two parts, 3935351 and 64, that added together give a triangular number (3935415 = T₂₈₀₅).

The spelling of 393535164 in words is "three hundred ninety-three million, five hundred thirty-five thousand, one hundred sixty-four".