284151456 has 144 divisors (see below), whose sum is σ = 863896320. Its totient is φ = 90771840.

The previous prime is 284151437. The next prime is 284151463. The reversal of 284151456 is 654151482.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

Its product of digits (38400) is a multiple of the sum of its prime factors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 284151456.

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, 2758701 + ... + 2758803.

It is an arithmetic number, because the mean of its divisors is an integer number (5999280).

Almost surely, 2^284151456 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 284151456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431948160).

284151456 is an abundant number, since it is smaller than the sum of its proper divisors (579744864).

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

284151456 is a wasteful number, since it uses less digits than its factorization.

284151456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 139 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 284151456 is about 16856.7925774745. The cubic root of 284151456 is about 657.4306719444.

The spelling of 284151456 in words is "two hundred eighty-four million, one hundred fifty-one thousand, four hundred fifty-six".