286894464 has 64 divisors (see below), whose sum is σ = 764024880. Its totient is φ = 95385600.

The previous prime is 286894451. The next prime is 286894483. The reversal of 286894464 is 464498682.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207054 + ... + 208434.

Almost surely, 2^286894464 is an apocalyptic number.

286894464 is a gapful number since it is divisible by the number (24) 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 286894464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382012440).

286894464 is an abundant number, since it is smaller than the sum of its proper divisors (477130416).

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

286894464 is a wasteful number, since it uses less digits than its factorization.

286894464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1927 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The square root of 286894464 is about 16937.9592631462. The cubic root of 286894464 is about 659.5393663718.

It can be divided in two parts, 28689 and 4464, that added together give a triangular number (33153 = T₂₅₇).

The spelling of 286894464 in words is "two hundred eighty-six million, eight hundred ninety-four thousand, four hundred sixty-four".