285476400 has 420 divisors, whose sum is σ = 1134402840. Its totient is φ = 68428800.

The previous prime is 285476383. The next prime is 285476413. The reversal of 285476400 is 4674582.

285476400 is a `hidden beast` number, since 2 + 8 + 5 + 4 + 7 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3207556 + ... + 3207644.

Almost surely, 2^285476400 is an apocalyptic number.

285476400 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 285476400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567201420).

285476400 is an abundant number, since it is smaller than the sum of its proper divisors (848926440).

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

285476400 is a wasteful number, since it uses less digits than its factorization.

285476400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 285476400 is about 16896.0468749350. The cubic root of 285476400 is about 658.4509124320.

The spelling of 285476400 in words is "two hundred eighty-five million, four hundred seventy-six thousand, four hundred".