284958960 has 480 divisors, whose sum is σ = 1142926848. Its totient is φ = 57784320.

The previous prime is 284958911. The next prime is 284958991. The reversal of 284958960 is 69859482.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12389509 + ... + 12389531.

Almost surely, 2^284958960 is an apocalyptic number.

284958960 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 284958960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571463424).

284958960 is an abundant number, since it is smaller than the sum of its proper divisors (857967888).

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

284958960 is a wasteful number, since it uses less digits than its factorization.

284958960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 284958960 is about 16880.7274724758. The cubic root of 284958960 is about 658.0528469548.

The spelling of 284958960 in words is "two hundred eighty-four million, nine hundred fifty-eight thousand, nine hundred sixty".