287794980 has 144 divisors (see below), whose sum is σ = 958583808. Its totient is φ = 69312000.

The previous prime is 287794963. The next prime is 287794987. The reversal of 287794980 is 89497782.

287794980 is a `hidden beast` number, since 2 + 87 + 79 + 498 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (287794987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377800 + ... + 378560.

It is an arithmetic number, because the mean of its divisors is an integer number (6656832).

Almost surely, 2^287794980 is an apocalyptic number.

287794980 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 287794980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479291904).

287794980 is an abundant number, since it is smaller than the sum of its proper divisors (670788828).

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

287794980 is a wasteful number, since it uses less digits than its factorization.

287794980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 287794980 is about 16964.5212134030. The cubic root of 287794980 is about 660.2287086156.

The spelling of 287794980 in words is "two hundred eighty-seven million, seven hundred ninety-four thousand, nine hundred eighty".