284369040 has 120 divisors (see below), whose sum is σ = 958147008. Its totient is φ = 75582720.

The previous prime is 284369017. The next prime is 284369069. The reversal of 284369040 is 40963482.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 284368986 and 284369004.

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, 350235 + ... + 351045.

Almost surely, 2^284369040 is an apocalyptic number.

284369040 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 284369040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479073504).

284369040 is an abundant number, since it is smaller than the sum of its proper divisors (673777968).

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

284369040 is a wasteful number, since it uses less digits than its factorization.

284369040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 284369040 is about 16863.2452392770. The cubic root of 284369040 is about 657.5984344716.

The spelling of 284369040 in words is "two hundred eighty-four million, three hundred sixty-nine thousand, forty".