286363980 has 288 divisors, whose sum is σ = 1089728640. Its totient is φ = 59351040.

The previous prime is 286363949. The next prime is 286363981. The reversal of 286363980 is 89363682.

286363980 is a `hidden beast` number, since 2 + 8 + 6 + 3 + 639 + 8 + 0 = 666.

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 (286363981) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 620950 + ... + 621410.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2^286363980 is an apocalyptic number.

286363980 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 286363980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544864320).

286363980 is an abundant number, since it is smaller than the sum of its proper divisors (803364660).

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

286363980 is a wasteful number, since it uses less digits than its factorization.

286363980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 286363980 is about 16922.2923978993. The cubic root of 286363980 is about 659.1326071006.

The spelling of 286363980 in words is "two hundred eighty-six million, three hundred sixty-three thousand, nine hundred eighty".