1485458208 has 144 divisors (see below), whose sum is σ = 4660653816. Its totient is φ = 445870080.

The previous prime is 1485458173. The next prime is 1485458231. The reversal of 1485458208 is 8028545841.

1485458208 is a `hidden beast` number, since 14 + 8 + 54 + 582 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 755810064 + 729648144 = 27492^2 + 27012^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1485458208³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148666 + ... + 158342.

Almost surely, 2^1485458208 is an apocalyptic number.

1485458208 is a gapful number since it is divisible by the number (18) 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 1485458208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330326908).

1485458208 is an abundant number, since it is smaller than the sum of its proper divisors (3175195608).

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

1485458208 is a wasteful number, since it uses less digits than its factorization.

1485458208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9747 (or 9736 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The square root of 1485458208 is about 38541.6425181906. The cubic root of 1485458208 is about 1141.0030691407.

The spelling of 1485458208 in words is "one billion, four hundred eighty-five million, four hundred fifty-eight thousand, two hundred eight".