284464416 has 48 divisors (see below), whose sum is σ = 749183904. Its totient is φ = 94508544.

The previous prime is 284464403. The next prime is 284464421. The reversal of 284464416 is 614464482.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

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, 25315 + ... + 34781.

It is an arithmetic number, because the mean of its divisors is an integer number (15607998).

Almost surely, 2^284464416 is an apocalyptic number.

It is an amenable number.

284464416 is an abundant number, since it is smaller than the sum of its proper divisors (464719488).

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

284464416 is a wasteful number, since it uses less digits than its factorization.

284464416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9793 (or 9785 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 284464416 is about 16866.0729276260. The cubic root of 284464416 is about 657.6719446982.

The spelling of 284464416 in words is "two hundred eighty-four million, four hundred sixty-four thousand, four hundred sixteen".