285477920 has 144 divisors (see below), whose sum is σ = 845206488. Its totient is φ = 90316800.

The previous prime is 285477847. The next prime is 285477949. The reversal of 285477920 is 29774582.

It can be written as a sum of positive squares in 4 ways, for example, as 179881744 + 105596176 = 13412^2 + 10276^2 .

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

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, 100520 + ... + 103320.

Almost surely, 2^285477920 is an apocalyptic number.

285477920 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 285477920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422603244).

285477920 is an abundant number, since it is smaller than the sum of its proper divisors (559728568).

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

285477920 is a wasteful number, since it uses less digits than its factorization.

285477920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2843 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 285477920 is about 16896.0918558109. The cubic root of 285477920 is about 658.4520810559.

The spelling of 285477920 in words is "two hundred eighty-five million, four hundred seventy-seven thousand, nine hundred twenty".