284341453920 has 1152 divisors, whose sum is σ = 1109277711360. Its totient is φ = 68528332800.

The previous prime is 284341453897. The next prime is 284341453973. The reversal of 284341453920 is 29354143482.

284341453920 is a `hidden beast` number, since 2 + 84 + 3 + 4 + 14 + 539 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 2760596589 + ... + 2760596691.

It is an arithmetic number, because the mean of its divisors is an integer number (962914680).

Almost surely, 2^284341453920 is an apocalyptic number.

284341453920 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 284341453920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554638855680).

284341453920 is an abundant number, since it is smaller than the sum of its proper divisors (824936257440).

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

284341453920 is a wasteful number, since it uses less digits than its factorization.

284341453920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 284341453920 in words is "two hundred eighty-four billion, three hundred forty-one million, four hundred fifty-three thousand, nine hundred twenty".