285907440 has 480 divisors, whose sum is σ = 1176353280. Its totient is φ = 56070144.

The previous prime is 285907429. The next prime is 285907441. The reversal of 285907440 is 44709582.

It is a hoax number, since the sum of its digits (39) 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285907441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5394454 + ... + 5394506.

It is an arithmetic number, because the mean of its divisors is an integer number (2450736).

Almost surely, 2^285907440 is an apocalyptic number.

285907440 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 285907440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588176640).

285907440 is an abundant number, since it is smaller than the sum of its proper divisors (890445840).

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

285907440 is a wasteful number, since it uses less digits than its factorization.

285907440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 285907440 is about 16908.7977100680. The cubic root of 285907440 is about 658.7821434962.

The spelling of 285907440 in words is "two hundred eighty-five million, nine hundred seven thousand, four hundred forty".