284478480 has 400 divisors, whose sum is σ = 1164550464. Its totient is φ = 63452160.

The previous prime is 284478479. The next prime is 284478539. The reversal of 284478480 is 84874482.

It is a happy number.

It is a super-2 number, since 2×284478480² = 161856011166220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 926487 + ... + 926793.

Almost surely, 2^284478480 is an apocalyptic number.

284478480 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 284478480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582275232).

284478480 is an abundant number, since it is smaller than the sum of its proper divisors (880071984).

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

284478480 is a wasteful number, since it uses less digits than its factorization.

284478480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 284478480 is about 16866.4898541457. The cubic root of 284478480 is about 657.6827830143.

The spelling of 284478480 in words is "two hundred eighty-four million, four hundred seventy-eight thousand, four hundred eighty".