368844480 has 168 divisors, whose sum is σ = 1283817600. Its totient is φ = 97185792.

The previous prime is 368844439. The next prime is 368844571. The reversal of 368844480 is 84448863.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255601 + ... + 257039.

Almost surely, 2^368844480 is an apocalyptic number.

368844480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641908800).

368844480 is an abundant number, since it is smaller than the sum of its proper divisors (914973120).

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

368844480 is a wasteful number, since it uses less digits than its factorization.

368844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 368844480 is about 19205.3242617770. The cubic root of 368844480 is about 717.1573098346.

The spelling of 368844480 in words is "three hundred sixty-eight million, eight hundred forty-four thousand, four hundred eighty".