284181480 has 256 divisors, whose sum is σ = 1088640000. Its totient is φ = 65214720.

The previous prime is 284181473. The next prime is 284181487. The reversal of 284181480 is 84181482.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (284181473) and next prime (284181487).

It is a super-2 number, since 2×284181480² = 161518227149980800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (284181487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225091 + ... + 226349.

It is an arithmetic number, because the mean of its divisors is an integer number (4252500).

Almost surely, 2^284181480 is an apocalyptic number.

284181480 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 284181480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320000).

284181480 is an abundant number, since it is smaller than the sum of its proper divisors (804458520).

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

284181480 is a wasteful number, since it uses less digits than its factorization.

284181480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 284181480 is about 16857.6831148293. The cubic root of 284181480 is about 657.4538262668.

The spelling of 284181480 in words is "two hundred eighty-four million, one hundred eighty-one thousand, four hundred eighty".