4590213705 has 320 divisors, whose sum is σ = 11062149120. Its totient is φ = 1763596800.

The previous prime is 4590213703. The next prime is 4590213713. The reversal of 4590213705 is 5073120954.

It is not a de Polignac number, because 4590213705 - 2¹ = 4590213703 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4590213705.

It is not an unprimeable number, because it can be changed into a prime (4590213703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 36143352 + ... + 36143478.

It is an arithmetic number, because the mean of its divisors is an integer number (34569216).

Almost surely, 2^4590213705 is an apocalyptic number.

4590213705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4590213705 is an abundant number, since it is smaller than the sum of its proper divisors (6471935415).

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

4590213705 is a wasteful number, since it uses less digits than its factorization.

4590213705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 4590213705 is about 67751.1158948692. The cubic root of 4590213705 is about 1661.9232686232.

The spelling of 4590213705 in words is "four billion, five hundred ninety million, two hundred thirteen thousand, seven hundred five".