485853120 has 224 divisors, whose sum is σ = 1747967040. Its totient is φ = 126996480.

The previous prime is 485853107. The next prime is 485853133. The reversal of 485853120 is 21358584.

It is a happy number.

485853120 is a `hidden beast` number, since 48 + 585 + 31 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (485853107) and next prime (485853133).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457390 + ... + 458450.

Almost surely, 2^485853120 is an apocalyptic number.

485853120 is a gapful number since it is divisible by the number (40) 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 485853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873983520).

485853120 is an abundant number, since it is smaller than the sum of its proper divisors (1262113920).

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

485853120 is a wasteful number, since it uses less digits than its factorization.

485853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 485853120 is about 22042.0761272617. The cubic root of 485853120 is about 786.1432056534.

The spelling of 485853120 in words is "four hundred eighty-five million, eight hundred fifty-three thousand, one hundred twenty".