284875920 has 320 divisors, whose sum is σ = 1139927040. Its totient is φ = 64046592.

The previous prime is 284875909. The next prime is 284875937. The reversal of 284875920 is 29578482.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1254847 + ... + 1255073.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2^284875920 is an apocalyptic number.

284875920 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 284875920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569963520).

284875920 is an abundant number, since it is smaller than the sum of its proper divisors (855051120).

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

284875920 is a wasteful number, since it uses less digits than its factorization.

284875920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 284875920 is about 16878.2676836220. The cubic root of 284875920 is about 657.9889196004.

The spelling of 284875920 in words is "two hundred eighty-four million, eight hundred seventy-five thousand, nine hundred twenty".