201360480 has 96 divisors (see below), whose sum is σ = 667699200. Its totient is φ = 50867712.

The previous prime is 201360437. The next prime is 201360491. The reversal of 201360480 is 84063102.

It is a happy number.

201360480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201360480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1920 + ... + 20159.

It is an arithmetic number, because the mean of its divisors is an integer number (6955200).

Almost surely, 2^201360480 is an apocalyptic number.

201360480 is a gapful number since it is divisible by the number (20) 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 201360480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333849600).

201360480 is an abundant number, since it is smaller than the sum of its proper divisors (466338720).

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

201360480 is a wasteful number, since it uses less digits than its factorization.

201360480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22116 (or 22108 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 201360480 is about 14190.1543331988. The cubic root of 201360480 is about 586.1265747929.

The spelling of 201360480 in words is "two hundred one million, three hundred sixty thousand, four hundred eighty".