285416352 has 96 divisors (see below), whose sum is σ = 896535360. Its totient is φ = 87816960.

The previous prime is 285416311. The next prime is 285416353. The reversal of 285416352 is 253614582.

285416352 is a `hidden beast` number, since 2 + 8 + 541 + 63 + 52 = 666.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (285416353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1474 + ... + 23937.

It is an arithmetic number, because the mean of its divisors is an integer number (9338910).

Almost surely, 2^285416352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285416352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448267680).

285416352 is an abundant number, since it is smaller than the sum of its proper divisors (611119008).

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

285416352 is a wasteful number, since it uses less digits than its factorization.

285416352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25443 (or 25429 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 285416352 is about 16894.2697977746. The cubic root of 285416352 is about 658.4047423190.

The spelling of 285416352 in words is "two hundred eighty-five million, four hundred sixteen thousand, three hundred fifty-two".