284152050 has 288 divisors, whose sum is σ = 978187392. Its totient is φ = 59719680.

The previous prime is 284152039. The next prime is 284152067. The reversal of 284152050 is 50251482.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1105522 + ... + 1105778.

It is an arithmetic number, because the mean of its divisors is an integer number (3396484).

Almost surely, 2^284152050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284152050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489093696).

284152050 is an abundant number, since it is smaller than the sum of its proper divisors (694035342).

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

284152050 is a wasteful number, since it uses less digits than its factorization.

284152050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 284152050 is about 16856.8101964755. The cubic root of 284152050 is about 657.4311300493.

The spelling of 284152050 in words is "two hundred eighty-four million, one hundred fifty-two thousand, fifty".