485936418240 has 1680 divisors, whose sum is σ = 2280893076000. Its totient is φ = 97068367872.

The previous prime is 485936418229. The next prime is 485936418241. The reversal of 485936418240 is 42814639584.

485936418240 is a `hidden beast` number, since 4 + 8 + 593 + 6 + 4 + 1 + 8 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×485936418240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485936418241) 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, 313708986 + ... + 313710534.

It is an arithmetic number, because the mean of its divisors is an integer number (1357674450).

Almost surely, 2^485936418240 is an apocalyptic number.

485936418240 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 485936418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140446538000).

485936418240 is an abundant number, since it is smaller than the sum of its proper divisors (1794956657760).

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

485936418240 is a wasteful number, since it uses less digits than its factorization.

485936418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 485936418240 in words is "four hundred eighty-five billion, nine hundred thirty-six million, four hundred eighteen thousand, two hundred forty".