284813988480 has 1280 divisors, whose sum is σ = 1238741856000. Its totient is φ = 60914073600.

The previous prime is 284813988457. The next prime is 284813988491. The reversal of 284813988480 is 84889318482.

284813988480 is a `hidden beast` number, since 2 + 8 + 48 + 1 + 39 + 88 + 480 = 666.

It is a super-2 number, since 2×284813988480² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 696366516 + ... + 696366924.

It is an arithmetic number, because the mean of its divisors is an integer number (967767075).

Almost surely, 2^284813988480 is an apocalyptic number.

284813988480 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 284813988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619370928000).

284813988480 is an abundant number, since it is smaller than the sum of its proper divisors (953927867520).

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

284813988480 is a wasteful number, since it uses less digits than its factorization.

284813988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 284813988480 in words is "two hundred eighty-four billion, eight hundred thirteen million, nine hundred eighty-eight thousand, four hundred eighty".