287999040 has 224 divisors, whose sum is σ = 1106936064. Its totient is φ = 61931520.

The previous prime is 287998999. The next prime is 287999059. The reversal of 287999040 is 40999782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112980 + ... + 115500.

Almost surely, 2^287999040 is an apocalyptic number.

287999040 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 287999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553468032).

287999040 is an abundant number, since it is smaller than the sum of its proper divisors (818937024).

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

287999040 is a wasteful number, since it uses less digits than its factorization.

287999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 287999040 is about 16970.5344641823. The cubic root of 287999040 is about 660.3847160165.

The spelling of 287999040 in words is "two hundred eighty-seven million, nine hundred ninety-nine thousand, forty".