284434001280 has 2560 divisors, whose sum is σ = 1318966830720. Its totient is φ = 57330892800.

The previous prime is 284434001279. The next prime is 284434001329. The reversal of 284434001280 is 82100434482.

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 319 ways as a sum of consecutive naturals, for example, 4662852450 + ... + 4662852510.

Almost surely, 2^284434001280 is an apocalyptic number.

284434001280 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 284434001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659483415360).

284434001280 is an abundant number, since it is smaller than the sum of its proper divisors (1034532829440).

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

284434001280 is a wasteful number, since it uses less digits than its factorization.

284434001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 284434001280 in words is "two hundred eighty-four billion, four hundred thirty-four million, one thousand, two hundred eighty".