284972413380 has 192 divisors, whose sum is σ = 854117042688. Its totient is φ = 70740541440.

The previous prime is 284972413337. The next prime is 284972413409. The reversal of 284972413380 is 83314279482.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142985664 + ... + 142987656.

It is an arithmetic number, because the mean of its divisors is an integer number (4448526264).

Almost surely, 2^284972413380 is an apocalyptic number.

284972413380 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 284972413380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427058521344).

284972413380 is an abundant number, since it is smaller than the sum of its proper divisors (569144629308).

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

284972413380 is a wasteful number, since it uses less digits than its factorization.

284972413380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 284972413380 in words is "two hundred eighty-four billion, nine hundred seventy-two million, four hundred thirteen thousand, three hundred eighty".