287052480 has 672 divisors, whose sum is σ = 1258141248. Its totient is φ = 58982400.

The previous prime is 287052473. The next prime is 287052487. The reversal of 287052480 is 84250782.

287052480 = T₁₁₁ + T₁₁₂ + ... + T₁₁₉₈.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (287052473) and next prime (287052487).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (287052487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7001260 + ... + 7001300.

It is an arithmetic number, because the mean of its divisors is an integer number (1872234).

Almost surely, 2^287052480 is an apocalyptic number.

287052480 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 287052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629070624).

287052480 is an abundant number, since it is smaller than the sum of its proper divisors (971088768).

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

287052480 is a wasteful number, since it uses less digits than its factorization.

287052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 287052480 is about 16942.6231735230. The cubic root of 287052480 is about 659.6604313832.

The spelling of 287052480 in words is "two hundred eighty-seven million, fifty-two thousand, four hundred eighty".