201964448 has 96 divisors (see below), whose sum is σ = 468840960. Its totient is φ = 83865600.

The previous prime is 201964429. The next prime is 201964453. The reversal of 201964448 is 844469102.

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, 1787240 + ... + 1787352.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2^201964448 is an apocalyptic number.

201964448 is a gapful number since it is divisible by the number (28) 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 201964448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).

201964448 is an abundant number, since it is smaller than the sum of its proper divisors (266876512).

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

201964448 is a wasteful number, since it uses less digits than its factorization.

201964448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 201964448 is about 14211.4196335201. The cubic root of 201964448 is about 586.7120063673.

The spelling of 201964448 in words is "two hundred one million, nine hundred sixty-four thousand, four hundred forty-eight".