201461624 has 64 divisors (see below), whose sum is σ = 468787200. Its totient is φ = 79035264.

The previous prime is 201461621. The next prime is 201461629. The reversal of 201461624 is 426164102.

201461624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 201461593 and 201461602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201461621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91367 + ... + 93545.

It is an arithmetic number, because the mean of its divisors is an integer number (7324800).

Almost surely, 2^201461624 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 201461624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234393600).

201461624 is an abundant number, since it is smaller than the sum of its proper divisors (267325576).

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

201461624 is a wasteful number, since it uses less digits than its factorization.

201461624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 201461624 is about 14193.7177652650. The cubic root of 201461624 is about 586.2246961042.

The spelling of 201461624 in words is "two hundred one million, four hundred sixty-one thousand, six hundred twenty-four".