286485120 has 256 divisors, whose sum is σ = 1035504000. Its totient is φ = 74833920.

The previous prime is 286485119. The next prime is 286485151. The reversal of 286485120 is 21584682.

286485120 is a `hidden beast` number, since 2 + 8 + 648 + 5 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1019380 + ... + 1019660.

Almost surely, 2^286485120 is an apocalyptic number.

286485120 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 286485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517752000).

286485120 is an abundant number, since it is smaller than the sum of its proper divisors (749018880).

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

286485120 is a wasteful number, since it uses less digits than its factorization.

286485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 286485120 is about 16925.8713217370. The cubic root of 286485120 is about 659.2255378613.

The spelling of 286485120 in words is "two hundred eighty-six million, four hundred eighty-five thousand, one hundred twenty".