284533920 has 432 divisors, whose sum is σ = 1129355136. Its totient is φ = 65049600.

The previous prime is 284533919. The next prime is 284533933. The reversal of 284533920 is 29335482.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4007485 + ... + 4007555.

It is an arithmetic number, because the mean of its divisors is an integer number (2614248).

Almost surely, 2^284533920 is an apocalyptic number.

284533920 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 284533920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564677568).

284533920 is an abundant number, since it is smaller than the sum of its proper divisors (844821216).

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

284533920 is a wasteful number, since it uses less digits than its factorization.

284533920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 284533920 is about 16868.1332695708. The cubic root of 284533920 is about 657.7255039554.

The spelling of 284533920 in words is "two hundred eighty-four million, five hundred thirty-three thousand, nine hundred twenty".