201417984 has 54 divisors (see below), whose sum is σ = 580744346. Its totient is φ = 67138560.

The previous prime is 201417961. The next prime is 201417991. The reversal of 201417984 is 489714102.

It can be written as a sum of positive squares in only one way, i.e., 188457984 + 12960000 = 13728^2 + 3600^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41407 + ... + 46014.

Almost surely, 2^201417984 is an apocalyptic number.

201417984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201417984 is an abundant number, since it is smaller than the sum of its proper divisors (379326362).

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

201417984 is an equidigital number, since it uses as much as digits as its factorization.

201417984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87443 (or 87426 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 201417984 is about 14192.1803821682. The cubic root of 201417984 is about 586.1823643146.

The spelling of 201417984 in words is "two hundred one million, four hundred seventeen thousand, nine hundred eighty-four".