368541440 has 72 divisors (see below), whose sum is σ = 886074000. Its totient is φ = 146866176.

The previous prime is 368541409. The next prime is 368541463. The reversal of 368541440 is 44145863.

It is a self number, because there is not a number n which added to its sum of digits gives 368541440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 638432 + ... + 639008.

Almost surely, 2^368541440 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 368541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443037000).

368541440 is an abundant number, since it is smaller than the sum of its proper divisors (517532560).

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

368541440 is an equidigital number, since it uses as much as digits as its factorization.

368541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 368541440 is about 19197.4331617537. The cubic root of 368541440 is about 716.9608522412.

The spelling of 368541440 in words is "three hundred sixty-eight million, five hundred forty-one thousand, four hundred forty".