286629480 has 48 divisors (see below), whose sum is σ = 931546980. Its totient is φ = 76434432.

The previous prime is 286629449. The next prime is 286629481. The reversal of 286629480 is 84926682.

286629480 is a `hidden beast` number, since 286 + 6 + 294 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 262245636 + 24383844 = 16194^2 + 4938^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (286629481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 397737 + ... + 398456.

Almost surely, 2^286629480 is an apocalyptic number.

286629480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286629480 is an abundant number, since it is smaller than the sum of its proper divisors (644917500).

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

286629480 is a wasteful number, since it uses less digits than its factorization.

286629480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796210 (or 796203 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 286629480 is about 16930.1352623067. The cubic root of 286629480 is about 659.3362472976.

The spelling of 286629480 in words is "two hundred eighty-six million, six hundred twenty-nine thousand, four hundred eighty".