485659152000 has 1920 divisors, whose sum is σ = 2099788891200. Its totient is φ = 110854656000.

The previous prime is 485659151993. The next prime is 485659152007. The reversal of 485659152000 is 251956584.

485659152000 is a `hidden beast` number, since 4 + 8 + 5 + 6 + 591 + 52 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (485659151993) and next prime (485659152007).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485659152007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2979503919 + ... + 2979504081.

Almost surely, 2^485659152000 is an apocalyptic number.

485659152000 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 485659152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049894445600).

485659152000 is an abundant number, since it is smaller than the sum of its proper divisors (1614129739200).

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

485659152000 is a wasteful number, since it uses less digits than its factorization.

485659152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

485659152000 divided by its product of nonzero digits (432000) gives a palindrome (1124211).

The spelling of 485659152000 in words is "four hundred eighty-five billion, six hundred fifty-nine million, one hundred fifty-two thousand".