201059424 has 72 divisors (see below), whose sum is σ = 579065760. Its totient is φ = 66163968.

The previous prime is 201059401. The next prime is 201059437. The reversal of 201059424 is 424950102.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18334 + ... + 27170.

It is an arithmetic number, because the mean of its divisors is an integer number (8042580).

Almost surely, 2^201059424 is an apocalyptic number.

201059424 is a gapful number since it is divisible by the number (24) 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 201059424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289532880).

201059424 is an abundant number, since it is smaller than the sum of its proper divisors (378006336).

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

201059424 is a wasteful number, since it uses less digits than its factorization.

201059424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8932 (or 8921 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 201059424 is about 14179.5424467787. The cubic root of 201059424 is about 585.8343212583.

The spelling of 201059424 in words is "two hundred one million, fifty-nine thousand, four hundred twenty-four".