201382848 has 168 divisors, whose sum is σ = 625742208. Its totient is φ = 64094976.

The previous prime is 201382847. The next prime is 201382861. The reversal of 201382848 is 848283102.

It is a happy number.

It is a super-2 number, since 2×201382848² = 81110102937182208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201382847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357415 + ... + 357977.

It is an arithmetic number, because the mean of its divisors is an integer number (3724656).

Almost surely, 2^201382848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201382848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312871104).

201382848 is an abundant number, since it is smaller than the sum of its proper divisors (424359360).

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

201382848 is an equidigital number, since it uses as much as digits as its factorization.

201382848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 201382848 is about 14190.9424634166. The cubic root of 201382848 is about 586.1482771544.

The spelling of 201382848 in words is "two hundred one million, three hundred eighty-two thousand, eight hundred forty-eight".