285416064 has 96 divisors (see below), whose sum is σ = 829214100. Its totient is φ = 94224384.

The previous prime is 285416029. The next prime is 285416071. The reversal of 285416064 is 460614582.

285416064 is a `hidden beast` number, since 2 + 8 + 5 + 41 + 606 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 256256064 + 29160000 = 16008^2 + 5400^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×285416064⁴ (a number of 35 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124432 + ... + 126704.

Almost surely, 2^285416064 is an apocalyptic number.

285416064 is a gapful number since it is divisible by the number (24) 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 285416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414607050).

285416064 is an abundant number, since it is smaller than the sum of its proper divisors (543798036).

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

285416064 is a wasteful number, since it uses less digits than its factorization.

285416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 285416064 is about 16894.2612741724. The cubic root of 285416064 is about 658.4045208640.

The spelling of 285416064 in words is "two hundred eighty-five million, four hundred sixteen thousand, sixty-four".