368909424 has 240 divisors, whose sum is σ = 1190876160. Its totient is φ = 109175040.

The previous prime is 368909423. The next prime is 368909441. The reversal of 368909424 is 424909863.

It is a self number, because there is not a number n which added to its sum of digits gives 368909424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368909423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2263167 + ... + 2263329.

It is an arithmetic number, because the mean of its divisors is an integer number (4961984).

Almost surely, 2^368909424 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 368909424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595438080).

368909424 is an abundant number, since it is smaller than the sum of its proper divisors (821966736).

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

368909424 is a wasteful number, since it uses less digits than its factorization.

368909424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 368909424 is about 19207.0149684952. The cubic root of 368909424 is about 717.1993983331.

The spelling of 368909424 in words is "three hundred sixty-eight million, nine hundred nine thousand, four hundred twenty-four".