363865424 has 60 divisors (see below), whose sum is σ = 771588636. Its totient is φ = 165236736.

The previous prime is 363865417. The next prime is 363865429. The reversal of 363865424 is 424568363.

363865424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 188567824 + 175297600 = 13732^2 + 13240^2 .

Its product of digits (414720) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363865429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2655884 + ... + 2656020.

Almost surely, 2^363865424 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 363865424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385794318).

363865424 is an abundant number, since it is smaller than the sum of its proper divisors (407723212).

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

363865424 is a wasteful number, since it uses less digits than its factorization.

363865424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 265 counting only the distinct ones).

The product of its digits is 414720, while the sum is 41.

The square root of 363865424 is about 19075.2568527923. The cubic root of 363865424 is about 713.9156948901.

The spelling of 363865424 in words is "three hundred sixty-three million, eight hundred sixty-five thousand, four hundred twenty-four".