284213480 has 32 divisors (see below), whose sum is σ = 677098440. Its totient is φ = 106997760.

The previous prime is 284213471. The next prime is 284213509. The reversal of 284213480 is 84312482.

It can be written as a sum of positive squares in 4 ways, for example, as 284192164 + 21316 = 16858^2 + 146^2 .

It is an unprimeable number.

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, 208301 + ... + 209660.

Almost surely, 2^284213480 is an apocalyptic number.

284213480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284213480 is an abundant number, since it is smaller than the sum of its proper divisors (392884960).

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

284213480 is a wasteful number, since it uses less digits than its factorization.

284213480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417989 (or 417985 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 284213480 is about 16858.6322102358. The cubic root of 284213480 is about 657.4785026729.

It can be divided in two parts, 28421 and 3480, that multiplied together give a triangular number (98905080 = T₁₄₀₆₄).

The spelling of 284213480 in words is "two hundred eighty-four million, two hundred thirteen thousand, four hundred eighty".