284461956 has 45 divisors (see below), whose sum is σ = 744434229. Its totient is φ = 94719456.

The previous prime is 284461949. The next prime is 284461979. The reversal of 284461956 is 659164482.

The square root of 284461956 is 16866.

It is a perfect power (a square), and thus also a powerful number.

284461956 is a `hidden beast` number, since 28 + 4 + 4 + 619 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14976900 + 269485056 = 3870^2 + 16416^2 .

It is a super-2 number, since 2×284461956² = 161837208822691872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 303120 + ... + 304056.

Almost surely, 2^284461956 is an apocalyptic number.

284461956 is the 16866-th square number.

It is an amenable number.

284461956 is an abundant number, since it is smaller than the sum of its proper divisors (459972273).

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

284461956 is an frugal number, since it uses more digits than its factorization.

284461956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 942 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The cubic root of 284461956 is about 657.6700488809.

The spelling of 284461956 in words is "two hundred eighty-four million, four hundred sixty-one thousand, nine hundred fifty-six".