470986000 has 40 divisors (see below), whose sum is σ = 1138848984. Its totient is φ = 188393600.

The previous prime is 470985997. The next prime is 470986001. The reversal of 470986000 is 689074.

It can be written as a sum of positive squares in 4 ways, for example, as 100962304 + 370023696 = 10048^2 + 19236^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×470986000³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (470986001) 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 7 ways as a sum of consecutive naturals, for example, 115747 + ... + 119746.

Almost surely, 2^470986000 is an apocalyptic number.

470986000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

470986000 is an abundant number, since it is smaller than the sum of its proper divisors (667862984).

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

470986000 is a wasteful number, since it uses less digits than its factorization.

470986000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235516 (or 235500 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 470986000 is about 21702.2118688395. The cubic root of 470986000 is about 778.0413271641.

It can be divided in two parts, 4709 and 86000, that added together give a palindrome (90709).

The spelling of 470986000 in words is "four hundred seventy million, nine hundred eighty-six thousand".