284040064 has 192 divisors, whose sum is σ = 753494400. Its totient is φ = 105262080.

The previous prime is 284040049. The next prime is 284040109. The reversal of 284040064 is 460040482.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 1586727 + ... + 1586905.

It is an arithmetic number, because the mean of its divisors is an integer number (3924450).

Almost surely, 2^284040064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376747200).

284040064 is an abundant number, since it is smaller than the sum of its proper divisors (469454336).

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

284040064 is a wasteful number, since it uses less digits than its factorization.

284040064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 284040064 is about 16853.4881849426. The cubic root of 284040064 is about 657.3447528715.

The spelling of 284040064 in words is "two hundred eighty-four million, forty thousand, sixty-four".