286406460 has 72 divisors (see below), whose sum is σ = 870367680. Its totient is φ = 76234368.

The previous prime is 286406423. The next prime is 286406507. The reversal of 286406460 is 64604682.

286406460 = T₁₉₉₂ + T₁₉₉₃ + ... + T₂₁₂₆.

It is a happy number.

286406460 is a `hidden beast` number, since 2 + 8 + 6 + 4 + 0 + 646 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128314 + ... + 130526.

It is an arithmetic number, because the mean of its divisors is an integer number (12088440).

Almost surely, 2^286406460 is an apocalyptic number.

286406460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286406460 is an abundant number, since it is smaller than the sum of its proper divisors (583961220).

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

286406460 is a wasteful number, since it uses less digits than its factorization.

286406460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 286406460 is about 16923.5475004504. The cubic root of 286406460 is about 659.1651979881.

The spelling of 286406460 in words is "two hundred eighty-six million, four hundred six thousand, four hundred sixty".