285313674240 has 880 divisors, whose sum is σ = 1209108859200. Its totient is φ = 62947196928.

The previous prime is 285313674227. The next prime is 285313674251. The reversal of 285313674240 is 42476313582.

285313674240 is a `hidden beast` number, since 2 + 8 + 531 + 3 + 6 + 74 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 84186466 + ... + 84189854.

It is an arithmetic number, because the mean of its divisors is an integer number (1373987340).

Almost surely, 2^285313674240 is an apocalyptic number.

285313674240 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 285313674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604554429600).

285313674240 is an abundant number, since it is smaller than the sum of its proper divisors (923795184960).

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

285313674240 is a wasteful number, since it uses less digits than its factorization.

285313674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 285313674240 in words is "two hundred eighty-five billion, three hundred thirteen million, six hundred seventy-four thousand, two hundred forty".