485934679440 has 640 divisors, whose sum is σ = 1983873024000. Its totient is φ = 106982830080.

The previous prime is 485934679387. The next prime is 485934679441. The reversal of 485934679440 is 44976439584.

It is a happy number.

485934679440 is a `hidden beast` number, since 4 + 85 + 9 + 3 + 46 + 79 + 440 = 666.

It is a super-2 number, since 2×485934679440² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (485934679441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104522236 + ... + 104526884.

It is an arithmetic number, because the mean of its divisors is an integer number (3099801600).

Almost surely, 2^485934679440 is an apocalyptic number.

485934679440 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 485934679440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991936512000).

485934679440 is an abundant number, since it is smaller than the sum of its proper divisors (1497938344560).

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

485934679440 is a wasteful number, since it uses less digits than its factorization.

485934679440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 485934679440 in words is "four hundred eighty-five billion, nine hundred thirty-four million, six hundred seventy-nine thousand, four hundred forty".