485905392 has 200 divisors, whose sum is σ = 1692451200. Its totient is φ = 131476608.

The previous prime is 485905363. The next prime is 485905417. The reversal of 485905392 is 293509584.

485905392 is a `hidden beast` number, since 4 + 8 + 590 + 53 + 9 + 2 = 666.

It is a super-3 number, since 3×485905392³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 170959 + ... + 173777.

It is an arithmetic number, because the mean of its divisors is an integer number (8462256).

Almost surely, 2^485905392 is an apocalyptic number.

485905392 is a gapful number since it is divisible by the number (42) 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 485905392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846225600).

485905392 is an abundant number, since it is smaller than the sum of its proper divisors (1206545808).

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

485905392 is a wasteful number, since it uses less digits than its factorization.

485905392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 485905392 is about 22043.2618275971. The cubic root of 485905392 is about 786.1713978527.

The spelling of 485905392 in words is "four hundred eighty-five million, nine hundred five thousand, three hundred ninety-two".