284527040 has 112 divisors (see below), whose sum is σ = 795479232. Its totient is φ = 94887936.

The previous prime is 284527031. The next prime is 284527051. The reversal of 284527040 is 40725482.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 284526988 and 284527006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81164 + ... + 84596.

Almost surely, 2^284527040 is an apocalyptic number.

284527040 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 284527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397739616).

284527040 is an abundant number, since it is smaller than the sum of its proper divisors (510952192).

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

284527040 is a wasteful number, since it uses less digits than its factorization.

284527040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 284527040 is about 16867.9293335015. The cubic root of 284527040 is about 657.7202026683.

The spelling of 284527040 in words is "two hundred eighty-four million, five hundred twenty-seven thousand, forty".