368481960 has 480 divisors, whose sum is σ = 1579137120. Its totient is φ = 76204800.

The previous prime is 368481959. The next prime is 368481961. The reversal of 368481960 is 69184863.

It is an interprime number because it is at equal distance from previous prime (368481959) and next prime (368481961).

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

It is not an unprimeable number, because it can be changed into a prime (368481961) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1746255 + ... + 1746465.

It is an arithmetic number, because the mean of its divisors is an integer number (3289869).

Almost surely, 2^368481960 is an apocalyptic number.

368481960 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 368481960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789568560).

368481960 is an abundant number, since it is smaller than the sum of its proper divisors (1210655160).

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

368481960 is a wasteful number, since it uses less digits than its factorization.

368481960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 368481960 is about 19195.8839338021. The cubic root of 368481960 is about 716.9222793507.

The spelling of 368481960 in words is "three hundred sixty-eight million, four hundred eighty-one thousand, nine hundred sixty".