287427840 has 432 divisors, whose sum is σ = 1144574592. Its totient is φ = 60162048.

The previous prime is 287427773. The next prime is 287427841. The reversal of 287427840 is 48724782.

It is a super-2 number, since 2×287427840² = 165229526414131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 287427792 and 287427801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287427841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7768302 + ... + 7768338.

Almost surely, 2^287427840 is an apocalyptic number.

287427840 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 287427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572287296).

287427840 is an abundant number, since it is smaller than the sum of its proper divisors (857146752).

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

287427840 is a wasteful number, since it uses less digits than its factorization.

287427840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 287427840 is about 16953.6969419652. The cubic root of 287427840 is about 659.9478379345.

The spelling of 287427840 in words is "two hundred eighty-seven million, four hundred twenty-seven thousand, eight hundred forty".