287960400 has 480 divisors, whose sum is σ = 1265752320. Its totient is φ = 60549120.

The previous prime is 287960389. The next prime is 287960417. The reversal of 287960400 is 4069782.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 982654 + ... + 982946.

It is an arithmetic number, because the mean of its divisors is an integer number (2636984).

Almost surely, 2^287960400 is an apocalyptic number.

287960400 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 287960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632876160).

287960400 is an abundant number, since it is smaller than the sum of its proper divisors (977791920).

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

287960400 is a wasteful number, since it uses less digits than its factorization.

287960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 323 counting only the distinct ones).

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

The square root of 287960400 is about 16969.3959821792. The cubic root of 287960400 is about 660.3551807251.

The spelling of 287960400 in words is "two hundred eighty-seven million, nine hundred sixty thousand, four hundred".