201959440 has 80 divisors (see below), whose sum is σ = 488718720. Its totient is φ = 77552640.

The previous prime is 201959437. The next prime is 201959441. The reversal of 201959440 is 44959102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×201959440² = 81575230810227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201959396 and 201959405.

It is not an unprimeable number, because it can be changed into a prime (201959441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219301 + ... + 220219.

It is an arithmetic number, because the mean of its divisors is an integer number (6108984).

Almost surely, 2^201959440 is an apocalyptic number.

201959440 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 201959440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244359360).

201959440 is an abundant number, since it is smaller than the sum of its proper divisors (286759280).

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

201959440 is a wasteful number, since it uses less digits than its factorization.

201959440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 201959440 is about 14211.2434360966. The cubic root of 201959440 is about 586.7071568702.

The spelling of 201959440 in words is "two hundred one million, nine hundred fifty-nine thousand, four hundred forty".