286404464 has 80 divisors (see below), whose sum is σ = 612817920. Its totient is φ = 129212160.

The previous prime is 286404463. The next prime is 286404479. The reversal of 286404464 is 464404682.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286404463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501299 + ... + 501869.

It is an arithmetic number, because the mean of its divisors is an integer number (7660224).

Almost surely, 2^286404464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286404464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306408960).

286404464 is an abundant number, since it is smaller than the sum of its proper divisors (326413456).

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

286404464 is a wasteful number, since it uses less digits than its factorization.

286404464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The square root of 286404464 is about 16923.4885292602. The cubic root of 286404464 is about 659.1636667182.

The spelling of 286404464 in words is "two hundred eighty-six million, four hundred four thousand, four hundred sixty-four".