287493120 has 264 divisors, whose sum is σ = 1057627584. Its totient is φ = 71958528.

The previous prime is 287493113. The next prime is 287493121. The reversal of 287493120 is 21394782.

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

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (287493121) 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, 783177 + ... + 783543.

Almost surely, 2^287493120 is an apocalyptic number.

287493120 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 287493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528813792).

287493120 is an abundant number, since it is smaller than the sum of its proper divisors (770134464).

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

287493120 is a wasteful number, since it uses less digits than its factorization.

287493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 287493120 is about 16955.6220764677. The cubic root of 287493120 is about 659.9977961359.

The spelling of 287493120 in words is "two hundred eighty-seven million, four hundred ninety-three thousand, one hundred twenty".