284980468872400 has 480 divisors, whose sum is σ = 790220908339200. Its totient is φ = 96745694976000.

The previous prime is 284980468872361. The next prime is 284980468872443. The reversal of 284980468872400 is 4278864089482.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 284980468872400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198040630881 + ... + 198040632319.

It is an arithmetic number, because the mean of its divisors is an integer number (1646293559040).

Almost surely, 2^{284980468872400} is an apocalyptic number.

284980468872400 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 284980468872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395110454169600).

284980468872400 is an abundant number, since it is smaller than the sum of its proper divisors (505240439466800).

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

284980468872400 is a wasteful number, since it uses less digits than its factorization.

284980468872400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 70.

The spelling of 284980468872400 in words is "two hundred eighty-four trillion, nine hundred eighty billion, four hundred sixty-eight million, eight hundred seventy-two thousand, four hundred".