284957946 has 128 divisors (see below), whose sum is σ = 788336640. Its totient is φ = 74291904.

The previous prime is 284957929. The next prime is 284957969. The reversal of 284957946 is 649759482.

284957946 is a `hidden beast` number, since 28 + 4 + 9 + 579 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 284957892 and 284957901.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 505861 + ... + 506423.

It is an arithmetic number, because the mean of its divisors is an integer number (6158880).

Almost surely, 2^284957946 is an apocalyptic number.

284957946 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 284957946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394168320).

284957946 is an abundant number, since it is smaller than the sum of its proper divisors (503378694).

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

284957946 is a wasteful number, since it uses less digits than its factorization.

284957946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 691 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 284957946 is about 16880.6974381985. The cubic root of 284957946 is about 658.0520664139.

The spelling of 284957946 in words is "two hundred eighty-four million, nine hundred fifty-seven thousand, nine hundred forty-six".