368040480 has 384 divisors, whose sum is σ = 1340333568. Its totient is φ = 84344832.

The previous prime is 368040473. The next prime is 368040481. The reversal of 368040480 is 84040863.

It is not an unprimeable number, because it can be changed into a prime (368040481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6944134 + ... + 6944186.

It is an arithmetic number, because the mean of its divisors is an integer number (3490452).

Almost surely, 2^368040480 is an apocalyptic number.

368040480 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 368040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670166784).

368040480 is an abundant number, since it is smaller than the sum of its proper divisors (972293088).

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

368040480 is a wasteful number, since it uses less digits than its factorization.

368040480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 368040480 is about 19184.3811471728. The cubic root of 368040480 is about 716.6358489242.

The spelling of 368040480 in words is "three hundred sixty-eight million, forty thousand, four hundred eighty".