287425800 has 384 divisors, whose sum is σ = 1092787200. Its totient is φ = 69120000.

The previous prime is 287425799. The next prime is 287425819. The reversal of 287425800 is 8524782.

It is a happy number.

287425800 is a `hidden beast` number, since 2 + 8 + 74 + 2 + 580 + 0 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×287425800² = 165227181011280000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2845750 + ... + 2845850.

It is an arithmetic number, because the mean of its divisors is an integer number (2845800).

Almost surely, 2^287425800 is an apocalyptic number.

287425800 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 287425800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546393600).

287425800 is an abundant number, since it is smaller than the sum of its proper divisors (805361400).

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

287425800 is a wasteful number, since it uses less digits than its factorization.

287425800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

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

The square root of 287425800 is about 16953.6367779896. The cubic root of 287425800 is about 659.9462766188.

The spelling of 287425800 in words is "two hundred eighty-seven million, four hundred twenty-five thousand, eight hundred".