285625440 has 120 divisors (see below), whose sum is σ = 1008065520. Its totient is φ = 76163328.

The previous prime is 285625433. The next prime is 285625463. The reversal of 285625440 is 44526582.

It is a happy number.

285625440 is a `hidden beast` number, since 2 + 8 + 562 + 54 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 285625395 and 285625404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1941 + ... + 23979.

It is an arithmetic number, because the mean of its divisors is an integer number (8400546).

Almost surely, 2^285625440 is an apocalyptic number.

285625440 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 285625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504032760).

285625440 is an abundant number, since it is smaller than the sum of its proper divisors (722440080).

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

285625440 is a wasteful number, since it uses less digits than its factorization.

285625440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22066 (or 22049 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 285625440 is about 16900.4567985602. The cubic root of 285625440 is about 658.5654793465.

The spelling of 285625440 in words is "two hundred eighty-five million, six hundred twenty-five thousand, four hundred forty".