285945480 has 96 divisors (see below), whose sum is σ = 952038360. Its totient is φ = 74388480.

The previous prime is 285945479. The next prime is 285945487. The reversal of 285945480 is 84549582.

285945480 is a `hidden beast` number, since 2 + 8 + 594 + 54 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 123076836 + 162868644 = 11094^2 + 12762^2 .

It is a super-4 number, since 4×285945480⁴ (a number of 35 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (285945487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5074 + ... + 24446.

Almost surely, 2^285945480 is an apocalyptic number.

285945480 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 285945480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476019180).

285945480 is an abundant number, since it is smaller than the sum of its proper divisors (666092880).

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

285945480 is a wasteful number, since it uses less digits than its factorization.

285945480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19431 (or 19424 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 285945480 is about 16909.9225308693. The cubic root of 285945480 is about 658.8113592002.

The spelling of 285945480 in words is "two hundred eighty-five million, nine hundred forty-five thousand, four hundred eighty".