285467000 has 128 divisors (see below), whose sum is σ = 822407040. Its totient is φ = 90316800.

The previous prime is 285466999. The next prime is 285467029. The reversal of 285467000 is 764582.

285467000 = 6383² + 6384² + ... + 6389².

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89432 + ... + 92568.

It is an arithmetic number, because the mean of its divisors is an integer number (6425055).

Almost surely, 2^285467000 is an apocalyptic number.

285467000 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 285467000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411203520).

285467000 is an abundant number, since it is smaller than the sum of its proper divisors (536940040).

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

285467000 is a wasteful number, since it uses less digits than its factorization.

285467000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 285467000 is about 16895.7687010683. The cubic root of 285467000 is about 658.4436853238.

The spelling of 285467000 in words is "two hundred eighty-five million, four hundred sixty-seven thousand".