287004760 has 96 divisors (see below), whose sum is σ = 757762560. Its totient is φ = 97542144.

The previous prime is 287004749. The next prime is 287004763. The reversal of 287004760 is 67400782.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287004763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248344 + ... + 249496.

It is an arithmetic number, because the mean of its divisors is an integer number (7893360).

Almost surely, 2^287004760 is an apocalyptic number.

287004760 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 287004760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378881280).

287004760 is an abundant number, since it is smaller than the sum of its proper divisors (470757800).

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

287004760 is a wasteful number, since it uses less digits than its factorization.

287004760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 287004760 is about 16941.2148324729. The cubic root of 287004760 is about 659.6238750709.

The spelling of 287004760 in words is "two hundred eighty-seven million, four thousand, seven hundred sixty".