285620400 has 360 divisors, whose sum is σ = 1133364960. Its totient is φ = 65986560.

The previous prime is 285620399. The next prime is 285620429. The reversal of 285620400 is 4026582.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 795421 + ... + 795779.

It is an arithmetic number, because the mean of its divisors is an integer number (3148236).

Almost surely, 2^285620400 is an apocalyptic number.

285620400 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 285620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566682480).

285620400 is an abundant number, since it is smaller than the sum of its proper divisors (847744560).

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

285620400 is a wasteful number, since it uses less digits than its factorization.

285620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 285620400 is about 16900.3076895067. The cubic root of 285620400 is about 658.5616057542.

Adding to 285620400 its reverse (4026582), we get a palindrome (289646982).

The spelling of 285620400 in words is "two hundred eighty-five million, six hundred twenty thousand, four hundred".