285764000 has 96 divisors (see below), whose sum is σ = 707616000. Its totient is φ = 113414400.

The previous prime is 285763997. The next prime is 285764051. The reversal of 285764000 is 467582.

It is a super-2 number, since 2×285764000² = 163322127392000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795821 + ... + 796179.

It is an arithmetic number, because the mean of its divisors is an integer number (7371000).

Almost surely, 2^285764000 is an apocalyptic number.

285764000 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 285764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353808000).

285764000 is an abundant number, since it is smaller than the sum of its proper divisors (421852000).

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

285764000 is a wasteful number, since it uses less digits than its factorization.

285764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 285764000 is about 16904.5555990094. Note that the first 4 decimals coincide. The cubic root of 285764000 is about 658.6719545508.

The spelling of 285764000 in words is "two hundred eighty-five million, seven hundred sixty-four thousand".