471859201 has 16 divisors (see below), whose sum is σ = 529316928. Its totient is φ = 416908800.

The previous prime is 471859181. The next prime is 471859207. The reversal of 471859201 is 102958174.

It is not a de Polignac number, because 471859201 - 2²¹ = 469762049 is a prime.

It is a super-2 number, since 2×471859201² = 445302211136716802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (471859207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125785 + ... + 129481.

It is an arithmetic number, because the mean of its divisors is an integer number (33082308).

It is a Proth number, since it is equal to 225 ⋅ 2²¹ + 1 and 225 < 2²¹.

Almost surely, 2^471859201 is an apocalyptic number.

471859201 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

471859201 is a deficient number, since it is larger than the sum of its proper divisors (57457727).

471859201 is a wasteful number, since it uses less digits than its factorization.

471859201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032.

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 471859201 is about 21722.3203410685. The cubic root of 471859201 is about 778.5218559834.

The spelling of 471859201 in words is "four hundred seventy-one million, eight hundred fifty-nine thousand, two hundred one".