284481920 has 64 divisors (see below), whose sum is σ = 682624800. Its totient is φ = 113369088.

The previous prime is 284481913. The next prime is 284481931. The reversal of 284481920 is 29184482.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×284481920³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215021 + ... + 216339.

Almost surely, 2^284481920 is an apocalyptic number.

284481920 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 284481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341312400).

284481920 is an abundant number, since it is smaller than the sum of its proper divisors (398142880).

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

284481920 is a wasteful number, since it uses less digits than its factorization.

284481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 284481920 is about 16866.5918311910. The cubic root of 284481920 is about 657.6854339701.

The spelling of 284481920 in words is "two hundred eighty-four million, four hundred eighty-one thousand, nine hundred twenty".