285961200 has 240 divisors, whose sum is σ = 1066479360. Its totient is φ = 64143360.

The previous prime is 285961187. The next prime is 285961219. The reversal of 285961200 is 2169582.

285961200 = 396² + 397² + ... + 972².

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 495312 + ... + 495888.

It is an arithmetic number, because the mean of its divisors is an integer number (4443664).

Almost surely, 2^285961200 is an apocalyptic number.

285961200 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 285961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533239680).

285961200 is an abundant number, since it is smaller than the sum of its proper divisors (780518160).

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

285961200 is a wasteful number, since it uses less digits than its factorization.

285961200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 285961200 is about 16910.3873403302. The cubic root of 285961200 is about 658.8234318102.

The spelling of 285961200 in words is "two hundred eighty-five million, nine hundred sixty-one thousand, two hundred".