287049420 has 240 divisors, whose sum is σ = 1090393920. Its totient is φ = 61710336.

The previous prime is 287049419. The next prime is 287049421. The reversal of 287049420 is 24940782.

It is an interprime number because it is at equal distance from previous prime (287049419) and next prime (287049421).

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

It is not an unprimeable number, because it can be changed into a prime (287049421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 192036 + ... + 193524.

It is an arithmetic number, because the mean of its divisors is an integer number (4543308).

Almost surely, 2^287049420 is an apocalyptic number.

287049420 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 287049420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545196960).

287049420 is an abundant number, since it is smaller than the sum of its proper divisors (803344500).

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

287049420 is a wasteful number, since it uses less digits than its factorization.

287049420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 287049420 is about 16942.5328684940. The cubic root of 287049420 is about 659.6580873657.

The spelling of 287049420 in words is "two hundred eighty-seven million, forty-nine thousand, four hundred twenty".