286468400 has 30 divisors (see below), whose sum is σ = 688241292. Its totient is φ = 114587200.

The previous prime is 286468397. The next prime is 286468433. The reversal of 286468400 is 4864682.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 357686 + ... + 358485.

Almost surely, 2^286468400 is an apocalyptic number.

286468400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286468400 is an abundant number, since it is smaller than the sum of its proper divisors (401772892).

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

286468400 is a wasteful number, since it uses less digits than its factorization.

286468400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716189 (or 716178 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 286468400 is about 16925.3773960878. The cubic root of 286468400 is about 659.2127129190.

The spelling of 286468400 in words is "two hundred eighty-six million, four hundred sixty-eight thousand, four hundred".