284606397040 has 160 divisors (see below), whose sum is σ = 787388353920. Its totient is φ = 93638246400.

The previous prime is 284606397029. The next prime is 284606397133. The reversal of 284606397040 is 40793606482.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1298956 + ... + 1502164.

It is an arithmetic number, because the mean of its divisors is an integer number (4921177212).

Almost surely, 2^284606397040 is an apocalyptic number.

284606397040 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 284606397040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393694176960).

284606397040 is an abundant number, since it is smaller than the sum of its proper divisors (502781956880).

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

284606397040 is a wasteful number, since it uses less digits than its factorization.

284606397040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203331 (or 203325 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 284606397040 in words is "two hundred eighty-four billion, six hundred six million, three hundred ninety-seven thousand, forty".