287505360 has 240 divisors, whose sum is σ = 1038308544. Its totient is φ = 71036928.

The previous prime is 287505349. The next prime is 287505367. The reversal of 287505360 is 63505782.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287505367) 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, 1015779 + ... + 1016061.

Almost surely, 2^287505360 is an apocalyptic number.

287505360 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 287505360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519154272).

287505360 is an abundant number, since it is smaller than the sum of its proper divisors (750803184).

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

287505360 is a wasteful number, since it uses less digits than its factorization.

287505360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 287505360 is about 16955.9830148535. The cubic root of 287505360 is about 660.0071624567.

The spelling of 287505360 in words is "two hundred eighty-seven million, five hundred five thousand, three hundred sixty".