284721120 has 144 divisors (see below), whose sum is σ = 978868800. Its totient is φ = 75359232.

The previous prime is 284721119. The next prime is 284721131. The reversal of 284721120 is 21127482.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×284721120² = 162132232348108800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213897 + ... + 215223.

It is an arithmetic number, because the mean of its divisors is an integer number (6797700).

Almost surely, 2^284721120 is an apocalyptic number.

284721120 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 284721120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489434400).

284721120 is an abundant number, since it is smaller than the sum of its proper divisors (694147680).

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

284721120 is a wasteful number, since it uses less digits than its factorization.

284721120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 284721120 is about 16873.6812818069. The cubic root of 284721120 is about 657.8697154925.

It can be divided in two parts, 28472 and 1120, that added together give a palindrome (29592).

The spelling of 284721120 in words is "two hundred eighty-four million, seven hundred twenty-one thousand, one hundred twenty".