284157920 has 96 divisors (see below), whose sum is σ = 711607680. Its totient is φ = 106928640.

The previous prime is 284157917. The next prime is 284157931. The reversal of 284157920 is 29751482.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 641219 + ... + 641661.

It is an arithmetic number, because the mean of its divisors is an integer number (7412580).

Almost surely, 2^284157920 is an apocalyptic number.

284157920 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 284157920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355803840).

284157920 is an abundant number, since it is smaller than the sum of its proper divisors (427449760).

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

284157920 is a wasteful number, since it uses less digits than its factorization.

284157920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 284157920 is about 16856.9843091818. The cubic root of 284157920 is about 657.4356570788.

The spelling of 284157920 in words is "two hundred eighty-four million, one hundred fifty-seven thousand, nine hundred twenty".