368460000 has 360 divisors, whose sum is σ = 1381620240. Its totient is φ = 92928000.

The previous prime is 368459999. The next prime is 368460013. The reversal of 368460000 is 64863.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4139956 + ... + 4140044.

It is an arithmetic number, because the mean of its divisors is an integer number (3837834).

Almost surely, 2^368460000 is an apocalyptic number.

368460000 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 368460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690810120).

368460000 is an abundant number, since it is smaller than the sum of its proper divisors (1013160240).

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

368460000 is a wasteful number, since it uses less digits than its factorization.

368460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 368460000 is about 19195.3119276557. The cubic root of 368460000 is about 716.9080372007.

The spelling of 368460000 in words is "three hundred sixty-eight million, four hundred sixty thousand".