287264480 has 96 divisors (see below), whose sum is σ = 713276928. Its totient is φ = 109120000.

The previous prime is 287264389. The next prime is 287264519. The reversal of 287264480 is 84462782.

287264480 = T₂₈₅₁ + T₂₈₅₂ + ... + T₂₉₁₉.

287264480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 923525 + ... + 923835.

It is an arithmetic number, because the mean of its divisors is an integer number (7429968).

Almost surely, 2^287264480 is an apocalyptic number.

287264480 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 287264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356638464).

287264480 is an abundant number, since it is smaller than the sum of its proper divisors (426012448).

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

287264480 is a wasteful number, since it uses less digits than its factorization.

287264480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The square root of 287264480 is about 16948.8784289699. The cubic root of 287264480 is about 659.8227868263.

The spelling of 287264480 in words is "two hundred eighty-seven million, two hundred sixty-four thousand, four hundred eighty".