286390120 has 32 divisors (see below), whose sum is σ = 654946920. Its totient is φ = 112677120.

The previous prime is 286390099. The next prime is 286390127. The reversal of 286390120 is 21093682.

It can be written as a sum of positive squares in 4 ways, for example, as 161442436 + 124947684 = 12706^2 + 11178^2 .

It is a super-2 number, since 2×286390120² = 164038601667228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (286390127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56247 + ... + 61126.

Almost surely, 2^286390120 is an apocalyptic number.

286390120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286390120 is an abundant number, since it is smaller than the sum of its proper divisors (368556800).

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

286390120 is a wasteful number, since it uses less digits than its factorization.

286390120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117445 (or 117441 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 286390120 is about 16923.0647342613. The cubic root of 286390120 is about 659.1526622325.

The spelling of 286390120 in words is "two hundred eighty-six million, three hundred ninety thousand, one hundred twenty".