284431680 has 336 divisors, whose sum is σ = 1078406784. Its totient is φ = 68382720.

The previous prime is 284431673. The next prime is 284431699. The reversal of 284431680 is 86134482.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2658187 + ... + 2658293.

It is an arithmetic number, because the mean of its divisors is an integer number (3209544).

Almost surely, 2^284431680 is an apocalyptic number.

284431680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539203392).

284431680 is an abundant number, since it is smaller than the sum of its proper divisors (793975104).

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

284431680 is a wasteful number, since it uses less digits than its factorization.

284431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 284431680 is about 16865.1024307592. The cubic root of 284431680 is about 657.6467155617.

The spelling of 284431680 in words is "two hundred eighty-four million, four hundred thirty-one thousand, six hundred eighty".