368358480 has 360 divisors, whose sum is σ = 1473635592. Its totient is φ = 82188288.

The previous prime is 368358467. The next prime is 368358481. The reversal of 368358480 is 84853863.

368358480 is a `hidden beast` number, since 3 + 68 + 3 + 584 + 8 + 0 = 666.

368358480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 173923344 + 194435136 = 13188^2 + 13944^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368358481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1869742 + ... + 1869938.

Almost surely, 2^368358480 is an apocalyptic number.

368358480 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 368358480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736817796).

368358480 is an abundant number, since it is smaller than the sum of its proper divisors (1105277112).

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

368358480 is a wasteful number, since it uses less digits than its factorization.

368358480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 368358480 is about 19192.6673497979. The cubic root of 368358480 is about 716.8421890858.

The spelling of 368358480 in words is "three hundred sixty-eight million, three hundred fifty-eight thousand, four hundred eighty".