285564900 has 72 divisors (see below), whose sum is σ = 828696960. Its totient is φ = 75923840.

The previous prime is 285564883. The next prime is 285564913. The reversal of 285564900 is 9465582.

It is a super-2 number, since 2×285564900² = 163094624224020000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115477 + ... + 117923.

It is an arithmetic number, because the mean of its divisors is an integer number (11509680).

Almost surely, 2^285564900 is an apocalyptic number.

285564900 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 285564900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414348480).

285564900 is an abundant number, since it is smaller than the sum of its proper divisors (543132060).

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

285564900 is a wasteful number, since it uses less digits than its factorization.

285564900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 285564900 is about 16898.6656277944. The cubic root of 285564900 is about 658.5189471103.

The spelling of 285564900 in words is "two hundred eighty-five million, five hundred sixty-four thousand, nine hundred".