285070464 has 384 divisors, whose sum is σ = 1031097600. Its totient is φ = 73801728.

The previous prime is 285070447. The next prime is 285070519. The reversal of 285070464 is 464070582.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 5378662 + ... + 5378714.

It is an arithmetic number, because the mean of its divisors is an integer number (2685150).

Almost surely, 2^285070464 is an apocalyptic number.

285070464 is a gapful number since it is divisible by the number (24) 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 285070464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515548800).

285070464 is an abundant number, since it is smaller than the sum of its proper divisors (746027136).

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

285070464 is a wasteful number, since it uses less digits than its factorization.

285070464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 285070464 is about 16884.0298507199. The cubic root of 285070464 is about 658.1386674488.

The spelling of 285070464 in words is "two hundred eighty-five million, seventy thousand, four hundred sixty-four".