287426880 has 280 divisors, whose sum is σ = 1102367112. Its totient is φ = 70668288.

The previous prime is 287426879. The next prime is 287426899. The reversal of 287426880 is 88624782.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5992704 + 281434176 = 2448^2 + 16776^2 .

It is a super-2 number, since 2×287426880² = 165228422693068800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336534 + ... + 337386.

Almost surely, 2^287426880 is an apocalyptic number.

287426880 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 287426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551183556).

287426880 is an abundant number, since it is smaller than the sum of its proper divisors (814940232).

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

287426880 is a wasteful number, since it uses less digits than its factorization.

287426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 287426880 is about 16953.6686295327. The cubic root of 287426880 is about 659.9471031986.

The spelling of 287426880 in words is "two hundred eighty-seven million, four hundred twenty-six thousand, eight hundred eighty".