485437680 has 480 divisors, whose sum is σ = 2079866880. Its totient is φ = 98703360.

The previous prime is 485437657. The next prime is 485437681. The reversal of 485437680 is 86734584.

485437680 is a `hidden beast` number, since 48 + 543 + 7 + 68 + 0 = 666.

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 (485437681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2031001 + ... + 2031239.

It is an arithmetic number, because the mean of its divisors is an integer number (4333056).

Almost surely, 2^485437680 is an apocalyptic number.

485437680 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 485437680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039933440).

485437680 is an abundant number, since it is smaller than the sum of its proper divisors (1594429200).

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

485437680 is a wasteful number, since it uses less digits than its factorization.

485437680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 485437680 is about 22032.6503171997. The cubic root of 485437680 is about 785.9190717524.

The spelling of 485437680 in words is "four hundred eighty-five million, four hundred thirty-seven thousand, six hundred eighty".